405900 has 108 divisors (see below), whose sum is σ = 1421784. Its totient is φ = 96000.

The previous prime is 405893. The next prime is 405901. The reversal of 405900 is 9504.

405900 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 (18).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (405901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9880 + ... + 9920.

2⁴⁰⁵⁹⁰⁰ 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 405900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710892).

405900 is an abundant number, since it is smaller than the sum of its proper divisors (1015884).

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

405900 is a wasteful number, since it uses less digits than its factorization.

405900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 405900 is about 637.1028174479. The cubic root of 405900 is about 74.0411263966.

The spelling of 405900 in words is "four hundred five thousand, nine hundred".