406249830 has 224 divisors, whose sum is σ = 1322092800. Its totient is φ = 87759936.

The previous prime is 406249817. The next prime is 406249861. The reversal of 406249830 is 38942604.

It is a happy number.

406249830 is a `hidden beast` number, since 406 + 249 + 8 + 3 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 969361 + ... + 969779.

It is an arithmetic number, because the mean of its divisors is an integer number (5902200).

Almost surely, 2^406249830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406249830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661046400).

406249830 is an abundant number, since it is smaller than the sum of its proper divisors (915842970).

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

406249830 is a wasteful number, since it uses less digits than its factorization.

406249830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 406249830 is about 20155.6401535650. The cubic root of 406249830 is about 740.6239137943.

The spelling of 406249830 in words is "four hundred six million, two hundred forty-nine thousand, eight hundred thirty".