441624456 has 144 divisors (see below), whose sum is σ = 1498524300. Its totient is φ = 116460288.

The previous prime is 441624433. The next prime is 441624493. The reversal of 441624456 is 654426144.

441624456 is a `hidden beast` number, since 44 + 162 + 4 + 456 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 432224100 + 9400356 = 20790^2 + 3066^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 441624456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41050 + ... + 50678.

Almost surely, 2^441624456 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 441624456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749262150).

441624456 is an abundant number, since it is smaller than the sum of its proper divisors (1056899844).

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

441624456 is a wasteful number, since it uses less digits than its factorization.

441624456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9668 (or 9654 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 441624456 is about 21014.8627404511. The cubic root of 441624456 is about 761.5253621349.

The spelling of 441624456 in words is "four hundred forty-one million, six hundred twenty-four thousand, four hundred fifty-six".