456518748 has 48 divisors (see below), whose sum is σ = 1288998144. Its totient is φ = 122760960.

The previous prime is 456518737. The next prime is 456518749. The reversal of 456518748 is 847815654.

It is a junction number, because it is equal to n+sod(n) for n = 456518697 and 456518706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456518749) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 158418 + ... + 161273.

It is an arithmetic number, because the mean of its divisors is an integer number (26854128).

Almost surely, 2^456518748 is an apocalyptic number.

It is an amenable number.

456518748 is an abundant number, since it is smaller than the sum of its proper divisors (832479396).

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

456518748 is a wasteful number, since it uses less digits than its factorization.

456518748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319722 (or 319720 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 48.

The square root of 456518748 is about 21366.2993520170. The cubic root of 456518748 is about 769.9919873232.

The spelling of 456518748 in words is "four hundred fifty-six million, five hundred eighteen thousand, seven hundred forty-eight".