404332128 has 48 divisors (see below), whose sum is σ = 1179304560. Its totient is φ = 134777088.

The previous prime is 404332127. The next prime is 404332153. The reversal of 404332128 is 821233404.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404332127) 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, 233125 + ... + 234852.

It is an arithmetic number, because the mean of its divisors is an integer number (24568845).

Almost surely, 2^404332128 is an apocalyptic number.

404332128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

404332128 is an abundant number, since it is smaller than the sum of its proper divisors (774972432).

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

404332128 is a wasteful number, since it uses less digits than its factorization.

404332128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467996 (or 467982 counting only the distinct ones).

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

The square root of 404332128 is about 20108.0115376931. The cubic root of 404332128 is about 739.4567037260.

The spelling of 404332128 in words is "four hundred four million, three hundred thirty-two thousand, one hundred twenty-eight".