465212160 has 360 divisors, whose sum is σ = 1905384096. Its totient is φ = 106168320.

The previous prime is 465212159. The next prime is 465212177. The reversal of 465212160 is 61212564.

465212160 is a `hidden beast` number, since 4 + 652 + 1 + 2 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 725440 + ... + 726080.

Almost surely, 2^465212160 is an apocalyptic number.

465212160 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 465212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952692048).

465212160 is an abundant number, since it is smaller than the sum of its proper divisors (1440171936).

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

465212160 is an equidigital number, since it uses as much as digits as its factorization.

465212160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 658 counting only the distinct ones).

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

The square root of 465212160 is about 21568.7774340596. Note that the first 3 decimals coincide. The cubic root of 465212160 is about 774.8488973536.

The spelling of 465212160 in words is "four hundred sixty-five million, two hundred twelve thousand, one hundred sixty".