403720 has 16 divisors (see below), whose sum is σ = 908460. Its totient is φ = 161472.

The previous prime is 403717. The next prime is 403721. The reversal of 403720 is 27304.

403720 = 157² + 158² + ... + 171².

It can be written as a sum of positive squares in 2 ways, for example, as 401956 + 1764 = 634^2 + 42^2 .

It is a junction number, because it is equal to n+sod(n) for n = 403694 and 403703.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 403720.

It is not an unprimeable number, because it can be changed into a prime (403721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5007 + ... + 5086.

2⁴⁰³⁷²⁰ is an apocalyptic number.

403720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

403720 is an abundant number, since it is smaller than the sum of its proper divisors (504740).

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

403720 is a wasteful number, since it uses less digits than its factorization.

403720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10104 (or 10100 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 403720 is about 635.3896442342. The cubic root of 403720 is about 73.9083354907.

The spelling of 403720 in words is "four hundred three thousand, seven hundred twenty", and thus it is an iban number.