465980400 has 90 divisors (see below), whose sum is σ = 1617093920. Its totient is φ = 124260480.

The previous prime is 465980393. The next prime is 465980443. The reversal of 465980400 is 4089564.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 61120 + ... + 68319.

Almost surely, 2^465980400 is an apocalyptic number.

465980400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465980400 is an abundant number, since it is smaller than the sum of its proper divisors (1151113520).

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

465980400 is a wasteful number, since it uses less digits than its factorization.

465980400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129463 (or 129449 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 465980400 is about 21586.5791639157. The cubic root of 465980400 is about 775.2751849681.

The spelling of 465980400 in words is "four hundred sixty-five million, nine hundred eighty thousand, four hundred".