456644940 has 24 divisors (see below), whose sum is σ = 1278606000. Its totient is φ = 121771968.

The previous prime is 456644897. The next prime is 456644941. The reversal of 456644940 is 49446654.

It is a junction number, because it is equal to n+sod(n) for n = 456644892 and 456644901.

It is not an unprimeable number, because it can be changed into a prime (456644941) 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 7 ways as a sum of consecutive naturals, for example, 3805315 + ... + 3805434.

It is an arithmetic number, because the mean of its divisors is an integer number (53275250).

Almost surely, 2^456644940 is an apocalyptic number.

It is an amenable number.

456644940 is an abundant number, since it is smaller than the sum of its proper divisors (821961060).

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

456644940 is a wasteful number, since it uses less digits than its factorization.

456644940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7610761 (or 7610759 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 456644940 is about 21369.2522096586. The cubic root of 456644940 is about 770.0629284602.

The spelling of 456644940 in words is "four hundred fifty-six million, six hundred forty-four thousand, nine hundred forty".