404906400 has 108 divisors (see below), whose sum is σ = 1427826582. Its totient is φ = 107973120.

The previous prime is 404906387. The next prime is 404906401. The reversal of 404906400 is 4609404.

It can be written as a sum of positive squares in 3 ways, for example, as 307371024 + 97535376 = 17532^2 + 9876^2 .

It is not an unprimeable number, because it can be changed into a prime (404906401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20919 + ... + 35318.

Almost surely, 2^404906400 is an apocalyptic number.

404906400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404906400 is an abundant number, since it is smaller than the sum of its proper divisors (1022920182).

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

404906400 is a wasteful number, since it uses less digits than its factorization.

404906400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56263 (or 56247 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 404906400 is about 20122.2861524231. The cubic root of 404906400 is about 739.8066210064.

The spelling of 404906400 in words is "four hundred four million, nine hundred six thousand, four hundred".