404332400 has 120 divisors (see below), whose sum is σ = 1005267504. Its totient is φ = 156211200.

The previous prime is 404332363. The next prime is 404332441. The reversal of 404332400 is 4233404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1781087 + ... + 1781313.

Almost surely, 2^404332400 is an apocalyptic number.

404332400 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 404332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502633752).

404332400 is an abundant number, since it is smaller than the sum of its proper divisors (600935104).

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

404332400 is a wasteful number, since it uses less digits than its factorization.

404332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 404332400 is about 20108.0183011653. The cubic root of 404332400 is about 739.4568695403.

Adding to 404332400 its reverse (4233404), we get a palindrome (408565804).

The spelling of 404332400 in words is "four hundred four million, three hundred thirty-two thousand, four hundred".