457286272 has 64 divisors (see below), whose sum is σ = 931127400. Its totient is φ = 223657984.

The previous prime is 457286267. The next prime is 457286303. The reversal of 457286272 is 272682754.

It can be written as a sum of positive squares in 4 ways, for example, as 431642176 + 25644096 = 20776^2 + 5064^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×457286272² = 418221469119315968, 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, 1560558 + ... + 1560850.

Almost surely, 2^457286272 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 457286272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465563700).

457286272 is an abundant number, since it is smaller than the sum of its proper divisors (473841128).

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

457286272 is a wasteful number, since it uses less digits than its factorization.

457286272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 521 counting only the distinct ones).

The product of its digits is 376320, while the sum is 43.

The square root of 457286272 is about 21384.2528978686. The cubic root of 457286272 is about 770.4232631044.

The spelling of 457286272 in words is "four hundred fifty-seven million, two hundred eighty-six thousand, two hundred seventy-two".