404380416 has 144 divisors (see below), whose sum is σ = 1185585408. Its totient is φ = 121344000.

The previous prime is 404380409. The next prime is 404380423. The reversal of 404380416 is 614083404.

It is an interprime number because it is at equal distance from previous prime (404380409) and next prime (404380423).

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, 1275490 + ... + 1275806.

It is an arithmetic number, because the mean of its divisors is an integer number (8233232).

Almost surely, 2^404380416 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 404380416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592792704).

404380416 is an abundant number, since it is smaller than the sum of its proper divisors (781204992).

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

404380416 is a wasteful number, since it uses less digits than its factorization.

404380416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 404380416 is about 20109.2122172899. The cubic root of 404380416 is about 739.4861394807.

The spelling of 404380416 in words is "four hundred four million, three hundred eighty thousand, four hundred sixteen".