404180388 has 96 divisors (see below), whose sum is σ = 1121456000. Its totient is φ = 125504640.

The previous prime is 404180347. The next prime is 404180429. The reversal of 404180388 is 883081404.

It is an interprime number because it is at equal distance from previous prime (404180347) and next prime (404180429).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123558 + ... + 126786.

Almost surely, 2^404180388 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 404180388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560728000).

404180388 is an abundant number, since it is smaller than the sum of its proper divisors (717275612).

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

404180388 is a wasteful number, since it uses less digits than its factorization.

404180388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 404180388 is about 20104.2380606677. The cubic root of 404180388 is about 739.3641896831.

The spelling of 404180388 in words is "four hundred four million, one hundred eighty thousand, three hundred eighty-eight".