457024320 has 168 divisors, whose sum is σ = 1622999040. Its totient is φ = 117918720.

The previous prime is 457024297. The next prime is 457024343. The reversal of 457024320 is 23420754.

It is an interprime number because it is at equal distance from previous prime (457024297) and next prime (457024343).

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, 86721 + ... + 91839.

Almost surely, 2^457024320 is an apocalyptic number.

457024320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811499520).

457024320 is an abundant number, since it is smaller than the sum of its proper divisors (1165974720).

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

457024320 is a wasteful number, since it uses less digits than its factorization.

457024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5173 (or 5160 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 457024320 is about 21378.1271396725. The cubic root of 457024320 is about 770.2761251772.

The spelling of 457024320 in words is "four hundred fifty-seven million, twenty-four thousand, three hundred twenty".