404474860800 has 378 divisors, whose sum is σ = 1501038381822. Its totient is φ = 107858718720.

The previous prime is 404474860793. The next prime is 404474860819. The reversal of 404474860800 is 8068474404.

404474860800 is a `hidden beast` number, since 40 + 4 + 474 + 8 + 60 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 37122499584 + 367352361216 = 192672^2 + 606096^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4622254 + ... + 4708946.

Almost surely, 2^404474860800 is an apocalyptic number.

404474860800 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 404474860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750519190911).

404474860800 is an abundant number, since it is smaller than the sum of its proper divisors (1096563521022).

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

404474860800 is an frugal number, since it uses more digits than its factorization.

404474860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86737 (or 86703 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 404474860800 in words is "four hundred four billion, four hundred seventy-four million, eight hundred sixty thousand, eight hundred".