456007644 has 120 divisors (see below), whose sum is σ = 1247651328. Its totient is φ = 145061280.

The previous prime is 456007639. The next prime is 456007661. The reversal of 456007644 is 446700654.

456007644 is a `hidden beast` number, since 4 + 5 + 6 + 0 + 0 + 7 + 644 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 456007599 and 456007608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 833379 + ... + 833925.

Almost surely, 2^456007644 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 456007644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623825664).

456007644 is an abundant number, since it is smaller than the sum of its proper divisors (791643684).

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

456007644 is a wasteful number, since it uses less digits than its factorization.

456007644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 456007644 is about 21354.3354848611. The cubic root of 456007644 is about 769.7045271001.

The spelling of 456007644 in words is "four hundred fifty-six million, seven thousand, six hundred forty-four".