403128 has 48 divisors (see below), whose sum is σ = 1193400. Its totient is φ = 121920.

The previous prime is 403103. The next prime is 403133. The reversal of 403128 is 821304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 403128.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 403128.

It is an unprimeable number.

403128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 538 + ... + 1046.

2⁴⁰³¹²⁸ 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 403128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596700).

403128 is an abundant number, since it is smaller than the sum of its proper divisors (790272).

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

403128 is a wasteful number, since it uses less digits than its factorization.

403128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 403128 is about 634.9236174533. The cubic root of 403128 is about 73.8721923401.

The spelling of 403128 in words is "four hundred three thousand, one hundred twenty-eight".