404420400 has 90 divisors (see below), whose sum is σ = 1403463620. Its totient is φ = 107844480.

The previous prime is 404420381. The next prime is 404420503. The reversal of 404420400 is 4024404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52570 + ... + 59769.

Almost surely, 2^404420400 is an apocalyptic number.

404420400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404420400 is an abundant number, since it is smaller than the sum of its proper divisors (999043220).

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

404420400 is a wasteful number, since it uses less digits than its factorization.

404420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112363 (or 112349 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 404420400 is about 20110.2063639337. The cubic root of 404420400 is about 739.5105114484.

Adding to 404420400 its reverse (4024404), we get a palindrome (408444804).

The spelling of 404420400 in words is "four hundred four million, four hundred twenty thousand, four hundred".