404111680 has 112 divisors (see below), whose sum is σ = 1106058240. Its totient is φ = 137760768.

The previous prime is 404111663. The next prime is 404111693. The reversal of 404111680 is 86111404.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499116 + ... + 499924.

It is an arithmetic number, because the mean of its divisors is an integer number (9875520).

Almost surely, 2^404111680 is an apocalyptic number.

404111680 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 404111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553029120).

404111680 is an abundant number, since it is smaller than the sum of its proper divisors (701946560).

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

404111680 is a wasteful number, since it uses less digits than its factorization.

404111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 404111680 is about 20102.5291941089. The cubic root of 404111680 is about 739.3222916304.

The spelling of 404111680 in words is "four hundred four million, one hundred eleven thousand, six hundred eighty".