403800 has 48 divisors (see below), whose sum is σ = 1253640. Its totient is φ = 107520.

The previous prime is 403787. The next prime is 403817. The reversal of 403800 is 8304.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 403800.

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 403800.

It is an unprimeable number.

403800 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, 264 + ... + 936.

2⁴⁰³⁸⁰⁰ is an apocalyptic number.

403800 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 403800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626820).

403800 is an abundant number, since it is smaller than the sum of its proper divisors (849840).

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

403800 is a wasteful number, since it uses less digits than its factorization.

403800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 403800 is about 635.4525946127. The cubic root of 403800 is about 73.9132169897.

The spelling of 403800 in words is "four hundred three thousand, eight hundred".