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470421504 = 2123271823
BaseRepresentation
bin11100000010100…
…001000000000000
31012210011212222200
4130002201000000
51430411442004
6114402433200
714441342160
oct3402410000
91183155880
10470421504
112215a4703
12111662800
13765c9c27
14466965a0
152b474239
hex1c0a1000

470421504 has 156 divisors (see below), whose sum is σ = 1553799936. Its totient is φ = 134332416.

The previous prime is 470421491. The next prime is 470421509. The reversal of 470421504 is 405124074.

470421504 is a `hidden beast` number, since 470 + 42 + 150 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470421509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257137 + ... + 258959.

It is an arithmetic number, because the mean of its divisors is an integer number (9960256).

Almost surely, 2470421504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470421504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776899968).

470421504 is an abundant number, since it is smaller than the sum of its proper divisors (1083378432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

470421504 is a wasteful number, since it uses less digits than its factorization.

470421504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 470421504 is about 21689.2024749644. The cubic root of 470421504 is about 777.7303647712.

Adding to 470421504 its reverse (405124074), we get a palindrome (875545578).

The spelling of 470421504 in words is "four hundred seventy million, four hundred twenty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 1823 2016 2048 2304 2688 3072 3584 3646 4032 4096 4608 5376 5469 6144 7168 7292 8064 9216 10752 10938 12288 12761 14336 14584 16128 16407 18432 21504 21876 25522 28672 29168 32256 32814 36864 38283 43008 43752 51044 58336 64512 65628 76566 86016 87504 102088 114849 116672 129024 131256 153132 175008 204176 229698 233344 258048 262512 306264 350016 408352 459396 466688 525024 612528 700032 816704 918792 933376 1050048 1225056 1400064 1633408 1837584 1866752 2100096 2450112 2800128 3266816 3675168 3733504 4200192 4900224 5600256 6533632 7350336 7467008 8400384 9800448 11200512 13067264 14700672 16800768 19600896 22401024 26134528 29401344 33601536 39201792 52269056 58802688 67203072 78403584 117605376 156807168 235210752 470421504