457394688 has 200 divisors, whose sum is σ = 1403699220. Its totient is φ = 148193280.

The previous prime is 457394683. The next prime is 457394689. The reversal of 457394688 is 886493754.

457394688 is a `hidden beast` number, since 4 + 573 + 9 + 4 + 68 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 334450944 + 122943744 = 18288^2 + 11088^2 .

It is a super-2 number, since 2×457394688² = 418419801221234688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5806080) is a multiple of the sum of its prime divisors (315).

It is not an unprimeable number, because it can be changed into a prime (457394681) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1700218 + ... + 1700486.

Almost surely, 2^457394688 is an apocalyptic number.

457394688 is a gapful number since it is divisible by the number (48) 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 457394688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701849610).

457394688 is an abundant number, since it is smaller than the sum of its proper divisors (946304532).

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

457394688 is an equidigital number, since it uses as much as digits as its factorization.

457394688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 315 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 457394688 is about 21386.7876970806. The cubic root of 457394688 is about 770.4841437194.

The spelling of 457394688 in words is "four hundred fifty-seven million, three hundred ninety-four thousand, six hundred eighty-eight".