409785324 has 96 divisors (see below), whose sum is σ = 1069501440. Its totient is φ = 121305600.

The previous prime is 409785307. The next prime is 409785329. The reversal of 409785324 is 423587904.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (409785329) 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, 504879 + ... + 505689.

It is an arithmetic number, because the mean of its divisors is an integer number (11140640).

Almost surely, 2^409785324 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 409785324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534750720).

409785324 is an abundant number, since it is smaller than the sum of its proper divisors (659716116).

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

409785324 is a wasteful number, since it uses less digits than its factorization.

409785324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 409785324 is about 20243.1549912557. The cubic root of 409785324 is about 742.7662014131.

The spelling of 409785324 in words is "four hundred nine million, seven hundred eighty-five thousand, three hundred twenty-four".