457272 has 64 divisors (see below), whose sum is σ = 1332000. Its totient is φ = 145152.

The previous prime is 457271. The next prime is 457277. The reversal of 457272 is 272754.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6228 + ... + 6300.

2⁴⁵⁷²⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666000).

457272 is an abundant number, since it is smaller than the sum of its proper divisors (874728).

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

457272 is a wasteful number, since it uses less digits than its factorization.

457272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 457272 is about 676.2188994697. The cubic root of 457272 is about 77.0415247997.

It can be divided in two parts, 457 and 272, that added together give a 6-th power (729 = 3⁶).

The spelling of 457272 in words is "four hundred fifty-seven thousand, two hundred seventy-two".