404468128 has 48 divisors (see below), whose sum is σ = 813728160. Its totient is φ = 197842176.

The previous prime is 404468123. The next prime is 404468137. The reversal of 404468128 is 821864404.

It is not an unprimeable number, because it can be changed into a prime (404468123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 533926 + ... + 534682.

It is an arithmetic number, because the mean of its divisors is an integer number (16952670).

Almost surely, 2^404468128 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 404468128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406864080).

404468128 is an abundant number, since it is smaller than the sum of its proper divisors (409260032).

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

404468128 is a wasteful number, since it uses less digits than its factorization.

404468128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 404468128 is about 20111.3929900442. The cubic root of 404468128 is about 739.5396016141.

The spelling of 404468128 in words is "four hundred four million, four hundred sixty-eight thousand, one hundred twenty-eight".