456045180 has 48 divisors (see below), whose sum is σ = 1280840064. Its totient is φ = 121239360.

The previous prime is 456045157. The next prime is 456045181. The reversal of 456045180 is 81540654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456045181) 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, 8379 + ... + 31341.

It is an arithmetic number, because the mean of its divisors is an integer number (26684168).

Almost surely, 2^456045180 is an apocalyptic number.

It is an amenable number.

456045180 is an abundant number, since it is smaller than the sum of its proper divisors (824794884).

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

456045180 is a wasteful number, since it uses less digits than its factorization.

456045180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23306 (or 23304 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 456045180 is about 21355.2143515348. The cubic root of 456045180 is about 769.7256457786.

The spelling of 456045180 in words is "four hundred fifty-six million, forty-five thousand, one hundred eighty".