457024512 has 176 divisors, whose sum is σ = 1421960832. Its totient is φ = 127795200.

The previous prime is 457024439. The next prime is 457024531. The reversal of 457024512 is 215420754.

It is a self number, because there is not a number n which added to its sum of digits gives 457024512.

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, 1139512 + ... + 1139912.

Almost surely, 2^457024512 is an apocalyptic number.

457024512 is a gapful number since it is divisible by the number (42) 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 457024512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710980416).

457024512 is an abundant number, since it is smaller than the sum of its proper divisors (964936320).

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

457024512 is a wasteful number, since it uses less digits than its factorization.

457024512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 457024512 is about 21378.1316302431. The cubic root of 457024512 is about 770.2762330438.

The spelling of 457024512 in words is "four hundred fifty-seven million, twenty-four thousand, five hundred twelve".