465006232400 has 60 divisors (see below), whose sum is σ = 1117963927872. Its totient is φ = 185871553920.

The previous prime is 465006232387. The next prime is 465006232433. The reversal of 465006232400 is 4232600564.

It is a congruent number.

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, 160727 + ... + 977673.

Almost surely, 2^465006232400 is an apocalyptic number.

465006232400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465006232400 is an abundant number, since it is smaller than the sum of its proper divisors (652957695472).

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

465006232400 is a wasteful number, since it uses less digits than its factorization.

465006232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818388 (or 818377 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 465006232400 its reverse (4232600564), we get a palindrome (469238832964).

The spelling of 465006232400 in words is "four hundred sixty-five billion, six million, two hundred thirty-two thousand, four hundred".