404405600 has 72 divisors (see below), whose sum is σ = 1003560768. Its totient is φ = 159091200.

The previous prime is 404405593. The next prime is 404405621. The reversal of 404405600 is 6504404.

It is a happy number.

It is a super-2 number, since 2×404405600² = 327087778622720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44657 + ... + 52943.

It is an arithmetic number, because the mean of its divisors is an integer number (13938344).

Almost surely, 2^404405600 is an apocalyptic number.

404405600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501780384).

404405600 is an abundant number, since it is smaller than the sum of its proper divisors (599155168).

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

404405600 is a wasteful number, since it uses less digits than its factorization.

404405600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8368 (or 8355 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 404405600 is about 20109.8383882119. The cubic root of 404405600 is about 739.5014903991.

The spelling of 404405600 in words is "four hundred four million, four hundred five thousand, six hundred".