465692640 has 96 divisors (see below), whose sum is σ = 1676505600. Its totient is φ = 106443264.

The previous prime is 465692639. The next prime is 465692651. The reversal of 465692640 is 46296564.

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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 465692592 and 465692601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65940 + ... + 72659.

It is an arithmetic number, because the mean of its divisors is an integer number (17463600).

Almost surely, 2^465692640 is an apocalyptic number.

465692640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465692640 is an abundant number, since it is smaller than the sum of its proper divisors (1210812960).

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

465692640 is a wasteful number, since it uses less digits than its factorization.

465692640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138624 (or 138616 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 465692640 is about 21579.9128821226. The cubic root of 465692640 is about 775.1155651460.

The spelling of 465692640 in words is "four hundred sixty-five million, six hundred ninety-two thousand, six hundred forty".