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470880 = 25335109
BaseRepresentation
bin1110010111101100000
3212220221000
41302331200
5110032010
614032000
74000554
oct1627540
9786830
10470880
112a1863
121a8600
13136437
14c3864
15947c0
hex72f60

470880 has 96 divisors (see below), whose sum is σ = 1663200. Its totient is φ = 124416.

The previous prime is 470867. The next prime is 470881. The reversal of 470880 is 88074.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470881) by changing a digit.

470880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4266 + ... + 4374.

It is an arithmetic number, because the mean of its divisors is an integer number (17325).

2470880 is an apocalyptic number.

470880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831600).

470880 is an abundant number, since it is smaller than the sum of its proper divisors (1192320).

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

470880 is a wasteful number, since it uses less digits than its factorization.

470880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 470880 is about 686.2069658638. The cubic root of 470880 is about 77.7982954185.

The spelling of 470880 in words is "four hundred seventy thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 109 120 135 144 160 180 216 218 240 270 288 327 360 432 436 480 540 545 654 720 864 872 981 1080 1090 1308 1440 1635 1744 1962 2160 2180 2616 2943 3270 3488 3924 4320 4360 4905 5232 5886 6540 7848 8720 9810 10464 11772 13080 14715 15696 17440 19620 23544 26160 29430 31392 39240 47088 52320 58860 78480 94176 117720 156960 235440 470880