404008128 has 168 divisors, whose sum is σ = 1263243600. Its totient is φ = 126590976.

The previous prime is 404008123. The next prime is 404008159. The reversal of 404008128 is 821800404.

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

It is not an unprimeable number, because it can be changed into a prime (404008123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498988 + ... + 499796.

Almost surely, 2^404008128 is an apocalyptic number.

404008128 is a gapful number since it is divisible by the number (48) 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 404008128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631621800).

404008128 is an abundant number, since it is smaller than the sum of its proper divisors (859235472).

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

404008128 is a wasteful number, since it uses less digits than its factorization.

404008128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 404008128 is about 20099.9534327819. The cubic root of 404008128 is about 739.2591367767.

The spelling of 404008128 in words is "four hundred four million, eight thousand, one hundred twenty-eight".