403128960 has 256 divisors, whose sum is σ = 1431198720. Its totient is φ = 95846400.

The previous prime is 403128959. The next prime is 403128961. The reversal of 403128960 is 69821304.

It is an interprime number because it is at equal distance from previous prime (403128959) and next prime (403128961).

It is not an unprimeable number, because it can be changed into a prime (403128961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773500 + ... + 774020.

It is an arithmetic number, because the mean of its divisors is an integer number (5590620).

Almost surely, 2^403128960 is an apocalyptic number.

403128960 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 403128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715599360).

403128960 is an abundant number, since it is smaller than the sum of its proper divisors (1028069760).

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

403128960 is a wasteful number, since it uses less digits than its factorization.

403128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 403128960 is about 20078.0716205516. The cubic root of 403128960 is about 738.7225097921.

The spelling of 403128960 in words is "four hundred three million, one hundred twenty-eight thousand, nine hundred sixty".