404328960 has 480 divisors, whose sum is σ = 1685249280. Its totient is φ = 87588864.

The previous prime is 404328941. The next prime is 404328973. The reversal of 404328960 is 69823404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3709386 + ... + 3709494.

It is an arithmetic number, because the mean of its divisors is an integer number (3510936).

Almost surely, 2^404328960 is an apocalyptic number.

404328960 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 404328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842624640).

404328960 is an abundant number, since it is smaller than the sum of its proper divisors (1280920320).

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

404328960 is a wasteful number, since it uses less digits than its factorization.

404328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 404328960 is about 20107.9327629670. The cubic root of 404328960 is about 739.4547724713.

The spelling of 404328960 in words is "four hundred four million, three hundred twenty-eight thousand, nine hundred sixty".