404014416 has 80 divisors (see below), whose sum is σ = 1131010944. Its totient is φ = 123535872.

The previous prime is 404014411. The next prime is 404014421. The reversal of 404014416 is 614410404.

It is an interprime number because it is at equal distance from previous prime (404014411) and next prime (404014421).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404014411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102270 + ... + 106146.

Almost surely, 2^404014416 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 404014416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565505472).

404014416 is an abundant number, since it is smaller than the sum of its proper divisors (726996528).

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

404014416 is a wasteful number, since it uses less digits than its factorization.

404014416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4068 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 404014416 is about 20100.1098504461. The cubic root of 404014416 is about 739.2629720439.

The spelling of 404014416 in words is "four hundred four million, fourteen thousand, four hundred sixteen".