456157218 has 64 divisors (see below), whose sum is σ = 1020211200. Its totient is φ = 134808960.

The previous prime is 456157193. The next prime is 456157223. The reversal of 456157218 is 812751654.

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 463555 + ... + 464537.

It is an arithmetic number, because the mean of its divisors is an integer number (15940800).

Almost surely, 2^456157218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456157218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510105600).

456157218 is an abundant number, since it is smaller than the sum of its proper divisors (564053982).

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

456157218 is a wasteful number, since it uses less digits than its factorization.

456157218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167.

The product of its digits is 67200, while the sum is 39.

The square root of 456157218 is about 21357.8373905225. The cubic root of 456157218 is about 769.7886742273.

The spelling of 456157218 in words is "four hundred fifty-six million, one hundred fifty-seven thousand, two hundred eighteen".