465137164800 has 2160 divisors, whose sum is σ = 2192596227360. Its totient is φ = 96226099200.

The previous prime is 465137164799. The next prime is 465137164837. The reversal of 465137164800 is 8461731564.

465137164800 is a `hidden beast` number, since 4 + 6 + 513 + 71 + 64 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2049062287 + ... + 2049062513.

It is an arithmetic number, because the mean of its divisors is an integer number (1015090846).

Almost surely, 2^465137164800 is an apocalyptic number.

465137164800 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 465137164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096298113680).

465137164800 is an abundant number, since it is smaller than the sum of its proper divisors (1727459062560).

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

465137164800 is a wasteful number, since it uses less digits than its factorization.

465137164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 465137164800 in words is "four hundred sixty-five billion, one hundred thirty-seven million, one hundred sixty-four thousand, eight hundred".