457642768 has 40 divisors (see below), whose sum is σ = 975892896. Its totient is φ = 206169600.

The previous prime is 457642733. The next prime is 457642769. The reversal of 457642768 is 867246754.

It is not an unprimeable number, because it can be changed into a prime (457642769) 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, 8383 + ... + 31393.

Almost surely, 2^457642768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457642768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487946448).

457642768 is an abundant number, since it is smaller than the sum of its proper divisors (518250128).

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

457642768 is a wasteful number, since it uses less digits than its factorization.

457642768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23143 (or 23137 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 49.

The square root of 457642768 is about 21392.5867533592. The cubic root of 457642768 is about 770.6234159679.

The spelling of 457642768 in words is "four hundred fifty-seven million, six hundred forty-two thousand, seven hundred sixty-eight".