406238300 has 72 divisors (see below), whose sum is σ = 954490992. Its totient is φ = 149184000.

The previous prime is 406238299. The next prime is 406238309. The reversal of 406238300 is 3832604.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 406238300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406238309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273560 + ... + 275040.

Almost surely, 2^406238300 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 406238300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477245496).

406238300 is an abundant number, since it is smaller than the sum of its proper divisors (548252692).

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

406238300 is a wasteful number, since it uses less digits than its factorization.

406238300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 406238300 is about 20155.3541273777. The cubic root of 406238300 is about 740.6169070430.

The spelling of 406238300 in words is "four hundred six million, two hundred thirty-eight thousand, three hundred".