405300 has 72 divisors (see below), whose sum is σ = 1347136. Its totient is φ = 92160.

The previous prime is 405299. The next prime is 405323. The reversal of 405300 is 3504.

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

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 405300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2004 + ... + 2196.

2⁴⁰⁵³⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673568).

405300 is an abundant number, since it is smaller than the sum of its proper divisors (941836).

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

405300 is a wasteful number, since it uses less digits than its factorization.

405300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 405300 is about 636.6317616959. The cubic root of 405300 is about 74.0046259587.

Adding to 405300 its reverse (3504), we get a palindrome (408804).

The spelling of 405300 in words is "four hundred five thousand, three hundred".