480634956 has 36 divisors (see below), whose sum is σ = 1267763952. Its totient is φ = 153245664.

The previous prime is 480634919. The next prime is 480634961. The reversal of 480634956 is 659436084.

480634956 is a `hidden beast` number, since 4 + 8 + 0 + 634 + 9 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×480634956³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 289411 + ... + 291066.

Almost surely, 2^480634956 is an apocalyptic number.

480634956 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

480634956 is an abundant number, since it is smaller than the sum of its proper divisors (787128996).

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

480634956 is a wasteful number, since it uses less digits than its factorization.

480634956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580510 (or 580505 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 480634956 is about 21923.3883330109. The cubic root of 480634956 is about 783.3186217649.

The spelling of 480634956 in words is "four hundred eighty million, six hundred thirty-four thousand, nine hundred fifty-six".