465156944400 has 480 divisors, whose sum is σ = 1594499195520. Its totient is φ = 115912212480.

The previous prime is 465156944377. The next prime is 465156944411. The reversal of 465156944400 is 4449651564.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 465156944400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1515169047 + ... + 1515169353.

It is an arithmetic number, because the mean of its divisors is an integer number (3321873324).

Almost surely, 2^465156944400 is an apocalyptic number.

465156944400 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 465156944400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797249597760).

465156944400 is an abundant number, since it is smaller than the sum of its proper divisors (1129342251120).

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

465156944400 is a wasteful number, since it uses less digits than its factorization.

465156944400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 465156944400 in words is "four hundred sixty-five billion, one hundred fifty-six million, nine hundred forty-four thousand, four hundred".