451616940 has 72 divisors (see below), whose sum is σ = 1372539168. Its totient is φ = 120199680.

The previous prime is 451616939. The next prime is 451616987. The reversal of 451616940 is 49616154.

451616940 is a `hidden beast` number, since 451 + 6 + 169 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 451616895 and 451616904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104625 + ... + 108855.

It is an arithmetic number, because the mean of its divisors is an integer number (19063044).

Almost surely, 2^451616940 is an apocalyptic number.

It is an amenable number.

451616940 is an abundant number, since it is smaller than the sum of its proper divisors (920922228).

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

451616940 is a wasteful number, since it uses less digits than its factorization.

451616940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4839 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 451616940 is about 21251.2809025715. The cubic root of 451616940 is about 767.2261696128.

The spelling of 451616940 in words is "four hundred fifty-one million, six hundred sixteen thousand, nine hundred forty".