456731136 has 120 divisors (see below), whose sum is σ = 1367349984. Its totient is φ = 152202240.

The previous prime is 456731113. The next prime is 456731141. The reversal of 456731136 is 631137654.

456731136 is a `hidden beast` number, since 456 + 73 + 1 + 136 = 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 456731136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122581 + ... + 126251.

Almost surely, 2^456731136 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 456731136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683674992).

456731136 is an abundant number, since it is smaller than the sum of its proper divisors (910618848).

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

456731136 is an frugal number, since it uses more digits than its factorization.

456731136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704 (or 3676 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 456731136 is about 21371.2689375245. The cubic root of 456731136 is about 770.1113776034. Note that the first 3 decimals are identical.

The spelling of 456731136 in words is "four hundred fifty-six million, seven hundred thirty-one thousand, one hundred thirty-six".