456635649 has 8 divisors (see below), whose sum is σ = 609340000. Its totient is φ = 304177536.

The previous prime is 456635639. The next prime is 456635677. The reversal of 456635649 is 946536654.

It is a happy number.

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

It is not a de Polignac number, because 456635649 - 2⁵ = 456635617 is a prime.

It is a super-2 number, since 2×456635649² = 417032231875302402, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 456635598 and 456635607.

It is not an unprimeable number, because it can be changed into a prime (456635639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57187 + ... + 64680.

It is an arithmetic number, because the mean of its divisors is an integer number (76167500).

Almost surely, 2^456635649 is an apocalyptic number.

It is an amenable number.

456635649 is a deficient number, since it is larger than the sum of its proper divisors (152704351).

456635649 is a wasteful number, since it uses less digits than its factorization.

456635649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123119.

The product of its digits is 2332800, while the sum is 48.

The square root of 456635649 is about 21369.0348167623. The cubic root of 456635649 is about 770.0577058006.

The spelling of 456635649 in words is "four hundred fifty-six million, six hundred thirty-five thousand, six hundred forty-nine".