465900960 has 96 divisors (see below), whose sum is σ = 1677255552. Its totient is φ = 106490880.

The previous prime is 465900947. The next prime is 465900971. The reversal of 465900960 is 69009564.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65971 + ... + 72690.

It is an arithmetic number, because the mean of its divisors is an integer number (17471412).

Almost surely, 2^465900960 is an apocalyptic number.

465900960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465900960 is an abundant number, since it is smaller than the sum of its proper divisors (1211354592).

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

465900960 is a wasteful number, since it uses less digits than its factorization.

465900960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138686 (or 138678 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 465900960 is about 21584.7390533219. The cubic root of 465900960 is about 775.2311263476.

The spelling of 465900960 in words is "four hundred sixty-five million, nine hundred thousand, nine hundred sixty".