456661972 has 24 divisors (see below), whose sum is σ = 861273000. Its totient is φ = 210610176.

The previous prime is 456661969. The next prime is 456661981. The reversal of 456661972 is 279166654.

It can be written as a sum of positive squares in 4 ways, for example, as 107868996 + 348792976 = 10386^2 + 18676^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95904 + ... + 100552.

It is an arithmetic number, because the mean of its divisors is an integer number (35886375).

Almost surely, 2^456661972 is an apocalyptic number.

It is an amenable number.

456661972 is a deficient number, since it is larger than the sum of its proper divisors (404611028).

456661972 is a wasteful number, since it uses less digits than its factorization.

456661972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6555 (or 6553 counting only the distinct ones).

The product of its digits is 544320, while the sum is 46.

The square root of 456661972 is about 21369.6507224615. The cubic root of 456661972 is about 770.0725023089.

The spelling of 456661972 in words is "four hundred fifty-six million, six hundred sixty-one thousand, nine hundred seventy-two".