403959328 has 48 divisors (see below), whose sum is σ = 834442560. Its totient is φ = 192236800.

The previous prime is 403959319. The next prime is 403959343. The reversal of 403959328 is 823959304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62823 + ... + 68953.

It is an arithmetic number, because the mean of its divisors is an integer number (17384220).

Almost surely, 2^403959328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403959328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417221280).

403959328 is an abundant number, since it is smaller than the sum of its proper divisors (430483232).

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

403959328 is a wasteful number, since it uses less digits than its factorization.

403959328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6241 (or 6233 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The square root of 403959328 is about 20098.7394629614. The cubic root of 403959328 is about 739.2293706276.

The spelling of 403959328 in words is "four hundred three million, nine hundred fifty-nine thousand, three hundred twenty-eight".