465104160 has 384 divisors, whose sum is σ = 1765048320. Its totient is φ = 114048000.

The previous prime is 465104149. The next prime is 465104161. The reversal of 465104160 is 61401564.

465104160 is a `hidden beast` number, since 4 + 651 + 0 + 4 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (465104161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3080085 + ... + 3080235.

It is an arithmetic number, because the mean of its divisors is an integer number (4596480).

Almost surely, 2^465104160 is an apocalyptic number.

465104160 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 465104160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882524160).

465104160 is an abundant number, since it is smaller than the sum of its proper divisors (1299944160).

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

465104160 is a wasteful number, since it uses less digits than its factorization.

465104160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 465104160 is about 21566.2736697836. The cubic root of 465104160 is about 774.7889317689.

The spelling of 465104160 in words is "four hundred sixty-five million, one hundred four thousand, one hundred sixty".