457495272 has 96 divisors (see below), whose sum is σ = 1377492480. Its totient is φ = 136218240.

The previous prime is 457495249. The next prime is 457495273. The reversal of 457495272 is 272594754.

457495272 is a `hidden beast` number, since 4 + 574 + 9 + 5 + 2 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (457495273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21133 + ... + 36899.

It is an arithmetic number, because the mean of its divisors is an integer number (14348880).

Almost surely, 2^457495272 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 457495272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688746240).

457495272 is an abundant number, since it is smaller than the sum of its proper divisors (919997208).

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

457495272 is a wasteful number, since it uses less digits than its factorization.

457495272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15823 (or 15816 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 457495272 is about 21389.1391131107. The cubic root of 457495272 is about 770.5406177006.

The spelling of 457495272 in words is "four hundred fifty-seven million, four hundred ninety-five thousand, two hundred seventy-two".