465504093331200 has 4320 divisors, whose sum is σ = 2234134912880640. Its totient is φ = 93577752576000.

The previous prime is 465504093331163. The next prime is 465504093331229. The reversal of 465504093331200 is 2133390405564.

465504093331200 is a `hidden beast` number, since 4 + 6 + 5 + 5 + 0 + 409 + 3 + 3 + 31 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 149727915246 + ... + 149727918354.

Almost surely, 2^{465504093331200} is an apocalyptic number.

465504093331200 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 465504093331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117067456440320).

465504093331200 is an abundant number, since it is smaller than the sum of its proper divisors (1768630819549440).

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

465504093331200 is a wasteful number, since it uses less digits than its factorization.

465504093331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 465504093331200 in words is "four hundred sixty-five trillion, five hundred four billion, ninety-three million, three hundred thirty-one thousand, two hundred".