444872464 has 15 divisors (see below), whose sum is σ = 862103893. Its totient is φ = 222394048.

The previous prime is 444872431. The next prime is 444872489. The reversal of 444872464 is 464278444.

The square root of 444872464 is 21092.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 219632400 + 225240064 = 14820^2 + 15008^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 444872464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 81732 + ... + 87004.

Almost surely, 2^444872464 is an apocalyptic number.

444872464 is the 21092-nd square number.

It is an amenable number.

444872464 is a deficient number, since it is larger than the sum of its proper divisors (417231429).

444872464 is an frugal number, since it uses more digits than its factorization.

444872464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10554 (or 5275 counting only the distinct ones).

The product of its digits is 688128, while the sum is 43.

The cubic root of 444872464 is about 763.3877298094.

The spelling of 444872464 in words is "four hundred forty-four million, eight hundred seventy-two thousand, four hundred sixty-four".