444475404 has 96 divisors (see below), whose sum is σ = 1231876800. Its totient is φ = 138101760.

The previous prime is 444475399. The next prime is 444475429. The reversal of 444475404 is 404574444.

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

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 31 ways as a sum of consecutive naturals, for example, 199014 + ... + 201234.

It is an arithmetic number, because the mean of its divisors is an integer number (12832050).

Almost surely, 2^444475404 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 444475404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615938400).

444475404 is an abundant number, since it is smaller than the sum of its proper divisors (787401396).

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

444475404 is a wasteful number, since it uses less digits than its factorization.

444475404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 36.

The square root of 444475404 is about 21082.5853253343. The cubic root of 444475404 is about 763.1605478795.

The spelling of 444475404 in words is "four hundred forty-four million, four hundred seventy-five thousand, four hundred four".