456264361 has 8 divisors (see below), whose sum is σ = 521673344. Its totient is φ = 390912480.

The previous prime is 456264349. The next prime is 456264379. The reversal of 456264361 is 163462654.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 456264361 - 2¹⁷ = 456133289 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 456264361.

It is not an unprimeable number, because it can be changed into a prime (456264311) by changing a digit.

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, 4501 + ... + 30541.

It is an arithmetic number, because the mean of its divisors is an integer number (65209168).

Almost surely, 2^456264361 is an apocalyptic number.

It is an amenable number.

456264361 is a deficient number, since it is larger than the sum of its proper divisors (65408983).

456264361 is a wasteful number, since it uses less digits than its factorization.

456264361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28551.

The product of its digits is 103680, while the sum is 37.

The square root of 456264361 is about 21360.3455262315. The cubic root of 456264361 is about 769.8489392763.

The spelling of 456264361 in words is "four hundred fifty-six million, two hundred sixty-four thousand, three hundred sixty-one".