404032000 has 160 divisors (see below), whose sum is σ = 1034130240. Its totient is φ = 157388800.

The previous prime is 404031997. The next prime is 404032009. The reversal of 404032000 is 230404.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (404032009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3775947 + ... + 3776053.

It is an arithmetic number, because the mean of its divisors is an integer number (6463314).

Almost surely, 2^404032000 is an apocalyptic number.

404032000 is a gapful number since it is divisible by the number (40) 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 404032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517065120).

404032000 is an abundant number, since it is smaller than the sum of its proper divisors (630098240).

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

404032000 is an equidigital number, since it uses as much as digits as its factorization.

404032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 404032000 is about 20100.5472562316. The cubic root of 404032000 is about 739.2736969182.

Adding to 404032000 its reverse (230404), we get a palindrome (404262404).

The spelling of 404032000 in words is "four hundred four million, thirty-two thousand".