409834674 has 64 divisors (see below), whose sum is σ = 1015113600. Its totient is φ = 121803264.

The previous prime is 409834673. The next prime is 409834703. The reversal of 409834674 is 476438904.

It is not an unprimeable number, because it can be changed into a prime (409834673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5694 + ... + 29190.

It is an arithmetic number, because the mean of its divisors is an integer number (15861150).

Almost surely, 2^409834674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409834674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507556800).

409834674 is an abundant number, since it is smaller than the sum of its proper divisors (605278926).

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

409834674 is a wasteful number, since it uses less digits than its factorization.

409834674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23544 (or 23538 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 409834674 is about 20244.3738851069. The cubic root of 409834674 is about 742.7960170576.

The spelling of 409834674 in words is "four hundred nine million, eight hundred thirty-four thousand, six hundred seventy-four".