404324640 has 144 divisors (see below), whose sum is σ = 1403438400. Its totient is φ = 105970176.

The previous prime is 404324639. The next prime is 404324671. The reversal of 404324640 is 46423404.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×404324640² = 326956829022259200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82581 + ... + 87339.

It is an arithmetic number, because the mean of its divisors is an integer number (9746100).

Almost surely, 2^404324640 is an apocalyptic number.

404324640 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 404324640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701719200).

404324640 is an abundant number, since it is smaller than the sum of its proper divisors (999113760).

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

404324640 is a wasteful number, since it uses less digits than its factorization.

404324640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4839 (or 4828 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 404324640 is about 20107.8253423885. The cubic root of 404324640 is about 739.4521389259.

The spelling of 404324640 in words is "four hundred four million, three hundred twenty-four thousand, six hundred forty".