404076816 has 320 divisors, whose sum is σ = 1413242880. Its totient is φ = 108864000.

The previous prime is 404076793. The next prime is 404076851. The reversal of 404076816 is 618670404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1914951 + ... + 1915161.

It is an arithmetic number, because the mean of its divisors is an integer number (4416384).

Almost surely, 2^404076816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404076816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706621440).

404076816 is an abundant number, since it is smaller than the sum of its proper divisors (1009166064).

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

404076816 is a wasteful number, since it uses less digits than its factorization.

404076816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 404076816 is about 20101.6620208380. The cubic root of 404076816 is about 739.3010297904.

The spelling of 404076816 in words is "four hundred four million, seventy-six thousand, eight hundred sixteen".