456475180 has 72 divisors (see below), whose sum is σ = 1118955600. Its totient is φ = 155965824.

The previous prime is 456475169. The next prime is 456475189. The reversal of 456475180 is 81574654.

It is not an unprimeable number, because it can be changed into a prime (456475189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370806 + ... + 372034.

It is an arithmetic number, because the mean of its divisors is an integer number (15541050).

Almost surely, 2^456475180 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 456475180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559477800).

456475180 is an abundant number, since it is smaller than the sum of its proper divisors (662480420).

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

456475180 is a wasteful number, since it uses less digits than its factorization.

456475180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 456475180 is about 21365.2797781822. The cubic root of 456475180 is about 769.9674917405.

The spelling of 456475180 in words is "four hundred fifty-six million, four hundred seventy-five thousand, one hundred eighty".