457002272 has 48 divisors (see below), whose sum is σ = 942036480. Its totient is φ = 217823232.

The previous prime is 457002251. The next prime is 457002317. The reversal of 457002272 is 272200754.

It is a super-2 number, since 2×457002272² = 417702153226323968, which contains 22 as substring.

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, 258929 + ... + 260687.

It is an arithmetic number, because the mean of its divisors is an integer number (19625760).

Almost surely, 2^457002272 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 457002272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471018240).

457002272 is an abundant number, since it is smaller than the sum of its proper divisors (485034208).

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

457002272 is a wasteful number, since it uses less digits than its factorization.

457002272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 29.

The square root of 457002272 is about 21377.6114662045. The cubic root of 457002272 is about 770.2637382937.

The spelling of 457002272 in words is "four hundred fifty-seven million, two thousand, two hundred seventy-two".