456537564 has 36 divisors (see below), whose sum is σ = 1318887024. Its totient is φ = 130439232.

The previous prime is 456537563. The next prime is 456537569. The reversal of 456537564 is 465735654.

456537564 is a `hidden beast` number, since 4 + 56 + 5 + 37 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456537563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 905577 + ... + 906080.

Almost surely, 2^456537564 is an apocalyptic number.

It is an amenable number.

456537564 is an abundant number, since it is smaller than the sum of its proper divisors (862349460).

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

456537564 is a wasteful number, since it uses less digits than its factorization.

456537564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811674 (or 1811669 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The square root of 456537564 is about 21366.7396670620. The cubic root of 456537564 is about 770.0025659104.

The spelling of 456537564 in words is "four hundred fifty-six million, five hundred thirty-seven thousand, five hundred sixty-four".