457290460 has 72 divisors (see below), whose sum is σ = 1061384688. Its totient is φ = 165369600.

The previous prime is 457290451. The next prime is 457290479. The reversal of 457290460 is 64092754.

It is a super-2 number, since 2×457290460² = 418229129614023200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 563455 + ... + 564265.

It is an arithmetic number, because the mean of its divisors is an integer number (14741454).

Almost surely, 2^457290460 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 457290460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530692344).

457290460 is an abundant number, since it is smaller than the sum of its proper divisors (604094228).

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

457290460 is a wasteful number, since it uses less digits than its factorization.

457290460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 457290460 is about 21384.3508201675. The cubic root of 457290460 is about 770.4256150394.

The spelling of 457290460 in words is "four hundred fifty-seven million, two hundred ninety thousand, four hundred sixty".