404056016 has 60 divisors (see below), whose sum is σ = 968857632. Its totient is φ = 159838848.

The previous prime is 404055991. The next prime is 404056027. The reversal of 404056016 is 610650404.

It is a happy number.

It is a super-2 number, since 2×404056016² = 326522528131584512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8255 + ... + 29601.

Almost surely, 2^404056016 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 404056016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484428816).

404056016 is an abundant number, since it is smaller than the sum of its proper divisors (564801616).

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

404056016 is a wasteful number, since it uses less digits than its factorization.

404056016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21388 (or 21369 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 404056016 is about 20101.1446440246. The cubic root of 404056016 is about 739.2883443103.

The spelling of 404056016 in words is "four hundred four million, fifty-six thousand, sixteen".