444484000 has 48 divisors (see below), whose sum is σ = 1092107016. Its totient is φ = 177792000.

The previous prime is 444483961. The next prime is 444484009. The reversal of 444484000 is 484444.

It can be written as a sum of positive squares in 4 ways, for example, as 140469904 + 304014096 = 11852^2 + 17436^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 444484000.

It is not an unprimeable number, because it can be changed into a prime (444484009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51561 + ... + 59560.

Almost surely, 2^444484000 is an apocalyptic number.

444484000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444484000 is an abundant number, since it is smaller than the sum of its proper divisors (647623016).

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

444484000 is a wasteful number, since it uses less digits than its factorization.

444484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111146 (or 111128 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 444484000 is about 21082.7891892890. The cubic root of 444484000 is about 763.1654676012.

The spelling of 444484000 in words is "four hundred forty-four million, four hundred eighty-four thousand".