403320 has 32 divisors (see below), whose sum is σ = 1210320. Its totient is φ = 107520.

The previous prime is 403309. The next prime is 403327. The reversal of 403320 is 23304.

403320 = T₂₇₉ + T₂₈₀ + ... + T₂₈₈.

403320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 403296 and 403305.

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 403320.

It is not an unprimeable number, because it can be changed into a prime (403327) by changing a digit.

403320 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 7 ways as a sum of consecutive naturals, for example, 1561 + ... + 1800.

2⁴⁰³³²⁰ is an apocalyptic number.

403320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

403320 is an abundant number, since it is smaller than the sum of its proper divisors (807000).

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

403320 is a wasteful number, since it uses less digits than its factorization.

403320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 403320 is about 635.0747987442. The cubic root of 403320 is about 73.8839183177.

Adding to 403320 its reverse (23304), we get a palindrome (426624).

The spelling of 403320 in words is "four hundred three thousand, three hundred twenty", and thus it is an iban number.