405930 has 32 divisors (see below), whose sum is σ = 1113984. Its totient is φ = 92736.

The previous prime is 405917. The next prime is 405947. The reversal of 405930 is 39504.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 405897 and 405906.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 405930.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 757 + ... + 1176.

It is an arithmetic number, because the mean of its divisors is an integer number (34812).

2⁴⁰⁵⁹³⁰ is an apocalyptic number.

405930 is an abundant number, since it is smaller than the sum of its proper divisors (708054).

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

405930 is a wasteful number, since it uses less digits than its factorization.

405930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 405930 is about 637.1263610933. The cubic root of 405930 is about 74.0429504741.

The spelling of 405930 in words is "four hundred five thousand, nine hundred thirty".