409242834 has 256 divisors, whose sum is σ = 1250242560. Its totient is φ = 95800320.

The previous prime is 409242833. The next prime is 409242851. The reversal of 409242834 is 438242904.

409242834 is a `hidden beast` number, since 409 + 242 + 8 + 3 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (409242833) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3621562 + ... + 3621674.

It is an arithmetic number, because the mean of its divisors is an integer number (4883760).

Almost surely, 2^409242834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409242834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625121280).

409242834 is an abundant number, since it is smaller than the sum of its proper divisors (840999726).

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

409242834 is a wasteful number, since it uses less digits than its factorization.

409242834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 409242834 is about 20229.7512095428. The cubic root of 409242834 is about 742.4382889228.

The spelling of 409242834 in words is "four hundred nine million, two hundred forty-two thousand, eight hundred thirty-four".