456140904 has 96 divisors (see below), whose sum is σ = 1231207200. Its totient is φ = 140434560.

The previous prime is 456140903. The next prime is 456140917. The reversal of 456140904 is 409041654.

It is not an unprimeable number, because it can be changed into a prime (456140903) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 842874 + ... + 843414.

It is an arithmetic number, because the mean of its divisors is an integer number (12825075).

Almost surely, 2^456140904 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 456140904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615603600).

456140904 is an abundant number, since it is smaller than the sum of its proper divisors (775066296).

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

456140904 is a wasteful number, since it uses less digits than its factorization.

456140904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 456140904 is about 21357.4554664173. The cubic root of 456140904 is about 769.7794972143.

The spelling of 456140904 in words is "four hundred fifty-six million, one hundred forty thousand, nine hundred four".