406305900 has 648 divisors, whose sum is σ = 1764907872. Its totient is φ = 76032000.

The previous prime is 406305881. The next prime is 406305923. The reversal of 406305900 is 9503604.

It is a happy number.

406305900 is a `hidden beast` number, since 40 + 6 + 30 + 590 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9909880 + ... + 9909920.

Almost surely, 2^406305900 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 406305900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882453936).

406305900 is an abundant number, since it is smaller than the sum of its proper divisors (1358601972).

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

406305900 is a wasteful number, since it uses less digits than its factorization.

406305900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 406305900 is about 20157.0310313796. The cubic root of 406305900 is about 740.6579854988.

The spelling of 406305900 in words is "four hundred six million, three hundred five thousand, nine hundred".