404330640 has 320 divisors, whose sum is σ = 1542758400. Its totient is φ = 85542912.

The previous prime is 404330627. The next prime is 404330681. The reversal of 404330640 is 46033404.

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

It is a self number, because there is not a number n which added to its sum of digits gives 404330640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1691641 + ... + 1691879.

It is an arithmetic number, because the mean of its divisors is an integer number (4821120).

Almost surely, 2^404330640 is an apocalyptic number.

404330640 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 404330640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771379200).

404330640 is an abundant number, since it is smaller than the sum of its proper divisors (1138427760).

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

404330640 is a wasteful number, since it uses less digits than its factorization.

404330640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 404330640 is about 20107.9745374814. The cubic root of 404330640 is about 739.4557966228.

The spelling of 404330640 in words is "four hundred four million, three hundred thirty thousand, six hundred forty".