404878992 has 80 divisors (see below), whose sum is σ = 1207065600. Its totient is φ = 114546816.

The previous prime is 404878963. The next prime is 404878997. The reversal of 404878992 is 299878404.

It is a super-3 number, since 3×404878992³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (404878997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28759 + ... + 40457.

It is an arithmetic number, because the mean of its divisors is an integer number (15088320).

Almost surely, 2^404878992 is an apocalyptic number.

404878992 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 404878992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603532800).

404878992 is an abundant number, since it is smaller than the sum of its proper divisors (802186608).

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

404878992 is a wasteful number, since it uses less digits than its factorization.

404878992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11820 (or 11814 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 404878992 is about 20121.6051049612. The cubic root of 404878992 is about 739.7899281960.

The spelling of 404878992 in words is "four hundred four million, eight hundred seventy-eight thousand, nine hundred ninety-two".