456272 has 10 divisors (see below), whose sum is σ = 884058. Its totient is φ = 228128.

The previous prime is 456241. The next prime is 456283. The reversal of 456272 is 272654.

It can be written as a sum of positive squares in only one way, i.e., 440896 + 15376 = 664^2 + 124^2 .

It is a d-powerful number, because it can be written as 4 + 5⁸ + 2⁶ + 6² + 7 + 2¹⁶ .

It is a congruent number.

It is an unprimeable number.

456272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14243 + ... + 14274.

2⁴⁵⁶²⁷² is an apocalyptic number.

It is an amenable number.

456272 is a deficient number, since it is larger than the sum of its proper divisors (427786).

456272 is a wasteful number, since it uses less digits than its factorization.

456272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28525 (or 28519 counting only the distinct ones).

The product of its digits is 3360, while the sum is 26.

The square root of 456272 is about 675.4790892396. The cubic root of 456272 is about 76.9853235648.

The spelling of 456272 in words is "four hundred fifty-six thousand, two hundred seventy-two".