403920 has 160 divisors (see below), whose sum is σ = 1607040. Its totient is φ = 92160.

The previous prime is 403901. The next prime is 403933. The reversal of 403920 is 29304.

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

It is a junction number, because it is equal to n+sod(n) for n = 403893 and 403902.

It is a congruent number.

It is an unprimeable number.

403920 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 31 ways as a sum of consecutive naturals, for example, 23752 + ... + 23768.

It is an arithmetic number, because the mean of its divisors is an integer number (10044).

2⁴⁰³⁹²⁰ is an apocalyptic number.

403920 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 403920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803520).

403920 is an abundant number, since it is smaller than the sum of its proper divisors (1203120).

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

403920 is a wasteful number, since it uses less digits than its factorization.

403920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 403920 is about 635.5470084895. The cubic root of 403920 is about 73.9205380295.

The spelling of 403920 in words is "four hundred three thousand, nine hundred twenty".