465085670400 has 1320 divisors, whose sum is σ = 1888492503744. Its totient is φ = 112870195200.

The previous prime is 465085670377. The next prime is 465085670443. The reversal of 465085670400 is 4076580564.

465085670400 is a `hidden beast` number, since 46 + 5 + 0 + 8 + 567 + 0 + 40 + 0 = 666.

It is a super-2 number, since 2×465085670400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6550502365 + ... + 6550502435.

Almost surely, 2^465085670400 is an apocalyptic number.

465085670400 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 465085670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944246251872).

465085670400 is an abundant number, since it is smaller than the sum of its proper divisors (1423406833344).

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

465085670400 is an frugal number, since it uses more digits than its factorization.

465085670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 465085670400 in words is "four hundred sixty-five billion, eighty-five million, six hundred seventy thousand, four hundred".