457341072 has 80 divisors (see below), whose sum is σ = 1260401472. Its totient is φ = 142397440.

The previous prime is 457341061. The next prime is 457341083. The reversal of 457341072 is 270143754.

It is an interprime number because it is at equal distance from previous prime (457341061) and next prime (457341083).

It is a super-2 number, since 2×457341072² = 418321712276218368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109747 + ... + 113837.

Almost surely, 2^457341072 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 457341072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630200736).

457341072 is an abundant number, since it is smaller than the sum of its proper divisors (803060400).

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

457341072 is a wasteful number, since it uses less digits than its factorization.

457341072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4256 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 457341072 is about 21385.5341761668. The cubic root of 457341072 is about 770.4540370499.

The spelling of 457341072 in words is "four hundred fifty-seven million, three hundred forty-one thousand, seventy-two".