465712800 has 288 divisors, whose sum is σ = 1824883200. Its totient is φ = 100776960.

The previous prime is 465712777. The next prime is 465712823. The reversal of 465712800 is 8217564.

It is an interprime number because it is at equal distance from previous prime (465712777) and next prime (465712823).

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 47 ways as a sum of consecutive naturals, for example, 318471 + ... + 319929.

It is an arithmetic number, because the mean of its divisors is an integer number (6336400).

Almost surely, 2^465712800 is an apocalyptic number.

465712800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465712800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912441600).

465712800 is an abundant number, since it is smaller than the sum of its proper divisors (1359170400).

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

465712800 is a wasteful number, since it uses less digits than its factorization.

465712800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 465712800 is about 21580.3799781190. The cubic root of 465712800 is about 775.1267499941.

The spelling of 465712800 in words is "four hundred sixty-five million, seven hundred twelve thousand, eight hundred".