400004444 has 36 divisors (see below), whose sum is σ = 815444280. Its totient is φ = 171188640.

The previous prime is 400004419. The next prime is 400004471. The reversal of 400004444 is 444400004.

400004444 is a modest number, since divided by 4444 gives 4 as remainder.

It is a congruent number.

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, 245954 + ... + 247574.

It is an arithmetic number, because the mean of its divisors is an integer number (22651230).

Almost surely, 2^400004444 is an apocalyptic number.

It is an amenable number.

400004444 is an abundant number, since it is smaller than the sum of its proper divisors (415439836).

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

400004444 is a wasteful number, since it uses less digits than its factorization.

400004444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 400004444 is about 20000.1110996914. Note that the first 3 decimals coincide. The cubic root of 400004444 is about 736.8090283573.

Adding to 400004444 its reverse (444400004), we get a palindrome (844404448).

It can be divided in two parts, 40000 and 4444, that added together give a palindrome (44444).

The spelling of 400004444 in words is "four hundred million, four thousand, four hundred forty-four".