404670816 has 336 divisors, whose sum is σ = 1388197440. Its totient is φ = 114773760.

The previous prime is 404670803. The next prime is 404670823. The reversal of 404670816 is 618076404.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4875511 + ... + 4875593.

It is an arithmetic number, because the mean of its divisors is an integer number (4131540).

Almost surely, 2^404670816 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 404670816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694098720).

404670816 is an abundant number, since it is smaller than the sum of its proper divisors (983526624).

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

404670816 is a wasteful number, since it uses less digits than its factorization.

404670816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

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

The square root of 404670816 is about 20116.4314926878. The cubic root of 404670816 is about 739.6631142476.

The spelling of 404670816 in words is "four hundred four million, six hundred seventy thousand, eight hundred sixteen".