456495912 has 144 divisors (see below), whose sum is σ = 1322979840. Its totient is φ = 147456288.

The previous prime is 456495889. The next prime is 456495947. The reversal of 456495912 is 219594654.

456495912 is a `hidden beast` number, since 4 + 56 + 4 + 9 + 591 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3594393 + ... + 3594519.

It is an arithmetic number, because the mean of its divisors is an integer number (9187360).

Almost surely, 2^456495912 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 456495912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661489920).

456495912 is an abundant number, since it is smaller than the sum of its proper divisors (866483928).

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

456495912 is a wasteful number, since it uses less digits than its factorization.

456495912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 175 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 456495912 is about 21365.7649523718. The cubic root of 456495912 is about 769.9791482519.

The spelling of 456495912 in words is "four hundred fifty-six million, four hundred ninety-five thousand, nine hundred twelve".