406252300 has 144 divisors (see below), whose sum is σ = 982749600. Its totient is φ = 145152000.

The previous prime is 406252283. The next prime is 406252309. The reversal of 406252300 is 3252604.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (406252309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4022250 + ... + 4022350.

It is an arithmetic number, because the mean of its divisors is an integer number (6824650).

Almost surely, 2^406252300 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 406252300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491374800).

406252300 is an abundant number, since it is smaller than the sum of its proper divisors (576497300).

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

406252300 is a wasteful number, since it uses less digits than its factorization.

406252300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 406252300 is about 20155.7014266435. The cubic root of 406252300 is about 740.6254147897.

The spelling of 406252300 in words is "four hundred six million, two hundred fifty-two thousand, three hundred".