404260416 has 224 divisors, whose sum is σ = 1430528000. Its totient is φ = 109361664.

The previous prime is 404260403. The next prime is 404260427. The reversal of 404260416 is 614062404.

404260416 is a `hidden beast` number, since 4 + 0 + 42 + 604 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 404260416.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228945 + ... + 230703.

Almost surely, 2^404260416 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 404260416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715264000).

404260416 is an abundant number, since it is smaller than the sum of its proper divisors (1026267584).

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

404260416 is a wasteful number, since it uses less digits than its factorization.

404260416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 404260416 is about 20106.2282887666. The cubic root of 404260416 is about 739.4129846720.

The spelling of 404260416 in words is "four hundred four million, two hundred sixty thousand, four hundred sixteen".