456157464 has 96 divisors (see below), whose sum is σ = 1404676080. Its totient is φ = 122658816.

The previous prime is 456157441. The next prime is 456157519. The reversal of 456157464 is 464751654.

It is a super-2 number, since 2×456157464² = 416159263925822592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8584 + ... + 31400.

Almost surely, 2^456157464 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 456157464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702338040).

456157464 is an abundant number, since it is smaller than the sum of its proper divisors (948518616).

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

456157464 is a wasteful number, since it uses less digits than its factorization.

456157464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22857 (or 22846 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 456157464 is about 21357.8431495317. The cubic root of 456157464 is about 769.7888126065.

The spelling of 456157464 in words is "four hundred fifty-six million, one hundred fifty-seven thousand, four hundred sixty-four".