457975464 has 64 divisors (see below), whose sum is σ = 1168473600. Its totient is φ = 149539776.

The previous prime is 457975447. The next prime is 457975481. The reversal of 457975464 is 464579754.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (457975447) and next prime (457975481).

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 15 ways as a sum of consecutive naturals, for example, 711927 + ... + 712569.

It is an arithmetic number, because the mean of its divisors is an integer number (18257400).

Almost surely, 2^457975464 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 457975464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584236800).

457975464 is an abundant number, since it is smaller than the sum of its proper divisors (710498136).

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

457975464 is a wasteful number, since it uses less digits than its factorization.

457975464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1210 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 51.

The square root of 457975464 is about 21400.3613053612. The cubic root of 457975464 is about 770.8101126978.

The spelling of 457975464 in words is "four hundred fifty-seven million, nine hundred seventy-five thousand, four hundred sixty-four".