400044400 has 60 divisors (see below), whose sum is σ = 1098415312. Its totient is φ = 137157120.

The previous prime is 400044397. The next prime is 400044419. The reversal of 400044400 is 4440004.

It is a Harshad number since it is a multiple of its sum of digits (16).

400044400 is a modest number, since divided by 44400 gives 400 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, 68637 + ... + 74236.

Almost surely, 2^400044400 is an apocalyptic number.

400044400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400044400 is an abundant number, since it is smaller than the sum of its proper divisors (698370912).

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

400044400 is a wasteful number, since it uses less digits than its factorization.

400044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142898 (or 142887 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 400044400 is about 20001.1099691992. The cubic root of 400044400 is about 736.8335605525.

Adding to 400044400 its reverse (4440004), we get a palindrome (404484404).

It can be divided in two parts, 4000 and 44400, that added together give a square (48400 = 220²).

The spelling of 400044400 in words is "four hundred million, forty-four thousand, four hundred".