456648764 has 96 divisors (see below), whose sum is σ = 1003871232. Its totient is φ = 178560000.

The previous prime is 456648719. The next prime is 456648827. The reversal of 456648764 is 467846654.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1468169 + ... + 1468479.

It is an arithmetic number, because the mean of its divisors is an integer number (10456992).

Almost surely, 2^456648764 is an apocalyptic number.

456648764 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

456648764 is an abundant number, since it is smaller than the sum of its proper divisors (547222468).

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

456648764 is a wasteful number, since it uses less digits than its factorization.

456648764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 505 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 50.

The square root of 456648764 is about 21369.3416838236. The cubic root of 456648764 is about 770.0650779876.

The spelling of 456648764 in words is "four hundred fifty-six million, six hundred forty-eight thousand, seven hundred sixty-four".