456661272 has 32 divisors (see below), whose sum is σ = 1145390400. Its totient is φ = 151722144.

The previous prime is 456661267. The next prime is 456661273. The reversal of 456661272 is 272166654.

It is a self number, because there is not a number n which added to its sum of digits gives 456661272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456661273) 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, 23622 + ... + 38357.

It is an arithmetic number, because the mean of its divisors is an integer number (35793450).

Almost surely, 2^456661272 is an apocalyptic number.

It is an amenable number.

456661272 is an abundant number, since it is smaller than the sum of its proper divisors (688729128).

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

456661272 is a wasteful number, since it uses less digits than its factorization.

456661272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62295 (or 62291 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 456661272 is about 21369.6343440874. The cubic root of 456661272 is about 770.0721088370.

The spelling of 456661272 in words is "four hundred fifty-six million, six hundred sixty-one thousand, two hundred seventy-two".