404296320 has 256 divisors, whose sum is σ = 1357171200. Its totient is φ = 102273024.

The previous prime is 404296313. The next prime is 404296331. The reversal of 404296320 is 23692404.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4870999 + ... + 4871081.

It is an arithmetic number, because the mean of its divisors is an integer number (5301450).

Almost surely, 2^404296320 is an apocalyptic number.

404296320 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 404296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678585600).

404296320 is an abundant number, since it is smaller than the sum of its proper divisors (952874880).

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

404296320 is a wasteful number, since it uses less digits than its factorization.

404296320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 404296320 is about 20107.1211266059. The cubic root of 404296320 is about 739.4348741083.

The spelling of 404296320 in words is "four hundred four million, two hundred ninety-six thousand, three hundred twenty".