457697568 has 48 divisors (see below), whose sum is σ = 1208692800. Its totient is φ = 151646976.

The previous prime is 457697563. The next prime is 457697587. The reversal of 457697568 is 865796754.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×457697568² = 418974127506229248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (457697563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1758 + ... + 30306.

It is an arithmetic number, because the mean of its divisors is an integer number (25181100).

Almost surely, 2^457697568 is an apocalyptic number.

457697568 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 457697568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604346400).

457697568 is an abundant number, since it is smaller than the sum of its proper divisors (750995232).

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

457697568 is a wasteful number, since it uses less digits than its factorization.

457697568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28729 (or 28721 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 57.

The square root of 457697568 is about 21393.8675325431. The cubic root of 457697568 is about 770.6541739307.

The spelling of 457697568 in words is "four hundred fifty-seven million, six hundred ninety-seven thousand, five hundred sixty-eight".