444628320 has 48 divisors (see below), whose sum is σ = 1400580720. Its totient is φ = 118567424.

The previous prime is 444628229. The next prime is 444628333. The reversal of 444628320 is 23826444.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 462675 + ... + 463634.

It is an arithmetic number, because the mean of its divisors is an integer number (29178765).

Almost surely, 2^444628320 is an apocalyptic number.

444628320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444628320 is an abundant number, since it is smaller than the sum of its proper divisors (955952400).

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

444628320 is a wasteful number, since it uses less digits than its factorization.

444628320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926327 (or 926319 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 444628320 is about 21086.2116085370. The cubic root of 444628320 is about 763.2480563422.

The spelling of 444628320 in words is "four hundred forty-four million, six hundred twenty-eight thousand, three hundred twenty".