441564516 has 36 divisors (see below), whose sum is σ = 1119726972. Its totient is φ = 146720064.

The previous prime is 441564509. The next prime is 441564551. The reversal of 441564516 is 615465144.

441564516 is a `hidden beast` number, since 4 + 4 + 1 + 5 + 645 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 187799616 + 253764900 = 13704^2 + 15930^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7935 + ... + 30758.

It is an arithmetic number, because the mean of its divisors is an integer number (31103527).

Almost surely, 2^441564516 is an apocalyptic number.

It is an amenable number.

441564516 is an abundant number, since it is smaller than the sum of its proper divisors (678162456).

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

441564516 is a wasteful number, since it uses less digits than its factorization.

441564516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39020 (or 39015 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 441564516 is about 21013.4365585451. The cubic root of 441564516 is about 761.4909076001.

The spelling of 441564516 in words is "four hundred forty-one million, five hundred sixty-four thousand, five hundred sixteen".