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450685480 = 23572576263
BaseRepresentation
bin11010110111001…
…110101000101000
31011102001012020211
4122313032220220
51410333413410
6112415430504
714111522560
oct3267165050
91142035224
10450685480
11211444743
12106b25434
13724a99cb
1443bd9da0
152987668a
hex1adcea28

450685480 has 64 divisors (see below), whose sum is σ = 1163600640. Its totient is φ = 153894912.

The previous prime is 450685439. The next prime is 450685481. The reversal of 450685480 is 84586054.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (450685481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68829 + ... + 75091.

It is an arithmetic number, because the mean of its divisors is an integer number (18181260).

Almost surely, 2450685480 is an apocalyptic number.

450685480 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 450685480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581800320).

450685480 is an abundant number, since it is smaller than the sum of its proper divisors (712915160).

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

450685480 is a wasteful number, since it uses less digits than its factorization.

450685480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6538 (or 6534 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 450685480 is about 21229.3542059103. The cubic root of 450685480 is about 766.6983385362.

The spelling of 450685480 in words is "four hundred fifty million, six hundred eighty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 257 280 514 1028 1285 1799 2056 2570 3598 5140 6263 7196 8995 10280 12526 14392 17990 25052 31315 35980 43841 50104 62630 71960 87682 125260 175364 219205 250520 350728 438410 876820 1609591 1753640 3219182 6438364 8047955 11267137 12876728 16095910 22534274 32191820 45068548 56335685 64383640 90137096 112671370 225342740 450685480