404214400 has 48 divisors (see below), whose sum is σ = 998543790. Its totient is φ = 161684480.

The previous prime is 404214361. The next prime is 404214427. The reversal of 404214400 is 4412404.

It can be written as a sum of positive squares in 3 ways, for example, as 205291584 + 198922816 = 14328^2 + 14104^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59959 + ... + 66358.

Almost surely, 2^404214400 is an apocalyptic number.

404214400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404214400 is an abundant number, since it is smaller than the sum of its proper divisors (594329390).

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

404214400 is a wasteful number, since it uses less digits than its factorization.

404214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126341 (or 126324 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 404214400 is about 20105.0839341695. The cubic root of 404214400 is about 739.3849284013.

Adding to 404214400 its reverse (4412404), we get a palindrome (408626804).

The spelling of 404214400 in words is "four hundred four million, two hundred fourteen thousand, four hundred".