457973568 has 448 divisors, whose sum is σ = 1621536000. Its totient is φ = 125411328.

The previous prime is 457973533. The next prime is 457973573. The reversal of 457973568 is 865379754.

457973568 is a `hidden beast` number, since 4 + 5 + 7 + 9 + 73 + 568 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12377646 + ... + 12377682.

It is an arithmetic number, because the mean of its divisors is an integer number (3619500).

Almost surely, 2^457973568 is an apocalyptic number.

457973568 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 457973568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810768000).

457973568 is an abundant number, since it is smaller than the sum of its proper divisors (1163562432).

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

457973568 is a wasteful number, since it uses less digits than its factorization.

457973568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 103 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 457973568 is about 21400.3170069978. The cubic root of 457973568 is about 770.8090489887.

The spelling of 457973568 in words is "four hundred fifty-seven million, nine hundred seventy-three thousand, five hundred sixty-eight".