404344400 has 30 divisors (see below), whose sum is σ = 971438382. Its totient is φ = 161737600.

The previous prime is 404344349. The next prime is 404344411. The reversal of 404344400 is 4443404.

It can be written as a sum of positive squares in 3 ways, for example, as 23001616 + 381342784 = 4796^2 + 19528^2 .

It is a super-2 number, since 2×404344400² = 326988787622720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505031 + ... + 505830.

Almost surely, 2^404344400 is an apocalyptic number.

404344400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404344400 is an abundant number, since it is smaller than the sum of its proper divisors (567093982).

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

404344400 is a wasteful number, since it uses less digits than its factorization.

404344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010879 (or 1010868 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 404344400 is about 20108.3166873809. The cubic root of 404344400 is about 739.4641848043.

Adding to 404344400 its reverse (4443404), we get a palindrome (408787804).

The spelling of 404344400 in words is "four hundred four million, three hundred forty-four thousand, four hundred".