406427500 has 120 divisors (see below), whose sum is σ = 961229808. Its totient is φ = 149760000.

The previous prime is 406427491. The next prime is 406427507. The reversal of 406427500 is 5724604.

It is not an unprimeable number, because it can be changed into a prime (406427507) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3102435 + ... + 3102565.

Almost surely, 2^406427500 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 406427500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480614904).

406427500 is an abundant number, since it is smaller than the sum of its proper divisors (554802308).

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

406427500 is a wasteful number, since it uses less digits than its factorization.

406427500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 406427500 is about 20160.0471229608. The cubic root of 406427500 is about 740.7318666375.

The spelling of 406427500 in words is "four hundred six million, four hundred twenty-seven thousand, five hundred".