405320 has 16 divisors (see below), whose sum is σ = 912060. Its totient is φ = 162112.

The previous prime is 405299. The next prime is 405323. The reversal of 405320 is 23504.

It can be written as a sum of positive squares in 2 ways, for example, as 401956 + 3364 = 634^2 + 58^2 .

It is a junction number, because it is equal to n+sod(n) for n = 405295 and 405304.

It is not an unprimeable number, because it can be changed into a prime (405323) by changing a digit.

405320 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 3 ways as a sum of consecutive naturals, for example, 5027 + ... + 5106.

2⁴⁰⁵³²⁰ is an apocalyptic number.

405320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405320 is an abundant number, since it is smaller than the sum of its proper divisors (506740).

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

405320 is a wasteful number, since it uses less digits than its factorization.

405320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10144 (or 10140 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 405320 is about 636.6474691696. The cubic root of 405320 is about 74.0058432201.

Adding to 405320 its reverse (23504), we get a palindrome (428824).

It can be divided in two parts, 405 and 320, that multiplied together give a square (129600 = 360²).

The spelling of 405320 in words is "four hundred five thousand, three hundred twenty".