465874656000 has 288 divisors, whose sum is σ = 1666438108608. Its totient is φ = 114676531200.

The previous prime is 465874655999. The next prime is 465874656007. The reversal of 465874656000 is 656478564.

It is a super-3 number, since 3×465874656000³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (465874656007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1061352 + ... + 1434648.

Almost surely, 2^465874656000 is an apocalyptic number.

465874656000 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 465874656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833219054304).

465874656000 is an abundant number, since it is smaller than the sum of its proper divisors (1200563452608).

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

465874656000 is a wasteful number, since it uses less digits than its factorization.

465874656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373344 (or 373320 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 465874656000 in words is "four hundred sixty-five billion, eight hundred seventy-four million, six hundred fifty-six thousand".