456160536 has 192 divisors, whose sum is σ = 1397760000. Its totient is φ = 133436160.

The previous prime is 456160513. The next prime is 456160571. The reversal of 456160536 is 635061654.

456160536 is a `hidden beast` number, since 4 + 5 + 61 + 60 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 456160536.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2292165 + ... + 2292363.

It is an arithmetic number, because the mean of its divisors is an integer number (7280000).

Almost surely, 2^456160536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456160536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698880000).

456160536 is an abundant number, since it is smaller than the sum of its proper divisors (941599464).

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

456160536 is a wasteful number, since it uses less digits than its factorization.

456160536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 456160536 is about 21357.9150667850. The cubic root of 456160536 is about 769.7905406544.

The spelling of 456160536 in words is "four hundred fifty-six million, one hundred sixty thousand, five hundred thirty-six".