404046400 has 84 divisors (see below), whose sum is σ = 1046612080. Its totient is φ = 153100800.

The previous prime is 404046389. The next prime is 404046421. The reversal of 404046400 is 4640404.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23755 + ... + 37045.

Almost surely, 2^404046400 is an apocalyptic number.

404046400 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 404046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523306040).

404046400 is an abundant number, since it is smaller than the sum of its proper divisors (642565680).

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

404046400 is a wasteful number, since it uses less digits than its factorization.

404046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13332 (or 13317 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 404046400 is about 20100.9054522427. The cubic root of 404046400 is about 739.2824795681.

Adding to 404046400 its reverse (4640404), we get a palindrome (408686804).

The spelling of 404046400 in words is "four hundred four million, forty-six thousand, four hundred".