404716800 has 216 divisors, whose sum is σ = 1354975776. Its totient is φ = 106373120.

The previous prime is 404716789. The next prime is 404716801. The reversal of 404716800 is 8617404.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404716801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2054302 + ... + 2054498.

It is an arithmetic number, because the mean of its divisors is an integer number (6273036).

Almost surely, 2^404716800 is an apocalyptic number.

404716800 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 404716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677487888).

404716800 is an abundant number, since it is smaller than the sum of its proper divisors (950258976).

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

404716800 is a wasteful number, since it uses less digits than its factorization.

404716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 404716800 is about 20117.5744064736. The cubic root of 404716800 is about 739.6911299244.

The spelling of 404716800 in words is "four hundred four million, seven hundred sixteen thousand, eight hundred".