456266164 has 24 divisors (see below), whose sum is σ = 837648000. Its totient is φ = 217160160.

The previous prime is 456266147. The next prime is 456266191. The reversal of 456266164 is 461662654.

It is a super-2 number, since 2×456266164² = 416357624822549792, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 19464 + ... + 35935.

It is an arithmetic number, because the mean of its divisors is an integer number (34902000).

Almost surely, 2^456266164 is an apocalyptic number.

It is an amenable number.

456266164 is a deficient number, since it is larger than the sum of its proper divisors (381381836).

456266164 is a wasteful number, since it uses less digits than its factorization.

456266164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55503 (or 55501 counting only the distinct ones).

The product of its digits is 207360, while the sum is 40.

The square root of 456266164 is about 21360.3877305633. The cubic root of 456266164 is about 769.8499533345.

The spelling of 456266164 in words is "four hundred fifty-six million, two hundred sixty-six thousand, one hundred sixty-four".