465979680 has 72 divisors (see below), whose sum is σ = 1590160572. Its totient is φ = 124260864.

The previous prime is 465979669. The next prime is 465979733. The reversal of 465979680 is 86979564.

465979680 is a `hidden beast` number, since 46 + 597 + 9 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 456762384 + 9217296 = 21372^2 + 3036^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 160359 + ... + 163238.

Almost surely, 2^465979680 is an apocalyptic number.

465979680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465979680 is an abundant number, since it is smaller than the sum of its proper divisors (1124180892).

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

465979680 is a wasteful number, since it uses less digits than its factorization.

465979680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323618 (or 323607 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 465979680 is about 21586.5624868806. The cubic root of 465979680 is about 775.2747856678.

The spelling of 465979680 in words is "four hundred sixty-five million, nine hundred seventy-nine thousand, six hundred eighty".