457617664 has 81 divisors (see below), whose sum is σ = 1068174471. Its totient is φ = 195095040.

The previous prime is 457617623. The next prime is 457617673. The reversal of 457617664 is 466716754.

The square root of 457617664 is 21392.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2395809 + ... + 2395999.

Almost surely, 2^457617664 is an apocalyptic number.

457617664 is the 21392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457617664

457617664 is an abundant number, since it is smaller than the sum of its proper divisors (610556807).

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

457617664 is an frugal number, since it uses more digits than its factorization.

457617664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 200 counting only the distinct ones).

The product of its digits is 846720, while the sum is 46.

The cubic root of 457617664 is about 770.6093248577.

The spelling of 457617664 in words is "four hundred fifty-seven million, six hundred seventeen thousand, six hundred sixty-four".