404334400 has 42 divisors (see below), whose sum is σ = 994919270. Its totient is φ = 161733120.

The previous prime is 404334397. The next prime is 404334449. The reversal of 404334400 is 4433404.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 11343424 + 392990976 = 3368^2 + 19824^2 .

It is a congruent number.

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, 124755 + ... + 127954.

Almost surely, 2^404334400 is an apocalyptic number.

404334400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404334400 is an abundant number, since it is smaller than the sum of its proper divisors (590584870).

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

404334400 is a wasteful number, since it uses less digits than its factorization.

404334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252731 (or 252716 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 404334400 is about 20108.0680325087. The cubic root of 404334400 is about 739.4580887610.

Adding to 404334400 its reverse (4433404), we get a palindrome (408767804).

The spelling of 404334400 in words is "four hundred four million, three hundred thirty-four thousand, four hundred".