404332152 has 128 divisors (see below), whose sum is σ = 1227916800. Its totient is φ = 108476928.

The previous prime is 404332127. The next prime is 404332153. The reversal of 404332152 is 251233404.

It is a super-2 number, since 2×404332152² = 326968978281902208, which contains 22 as substring.

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

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 (404332153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179143 + ... + 181385.

It is an arithmetic number, because the mean of its divisors is an integer number (9593100).

Almost surely, 2^404332152 is an apocalyptic number.

404332152 is a gapful number since it is divisible by the number (42) 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 404332152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613958400).

404332152 is an abundant number, since it is smaller than the sum of its proper divisors (823584648).

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

404332152 is a wasteful number, since it uses less digits than its factorization.

404332152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 404332152 is about 20108.0121344702. The cubic root of 404332152 is about 739.4567183567.

Adding to 404332152 its reverse (251233404), we get a palindrome (655565556).

The spelling of 404332152 in words is "four hundred four million, three hundred thirty-two thousand, one hundred fifty-two".