409989384 has 128 divisors (see below), whose sum is σ = 1343692800. Its totient is φ = 113348160.

The previous prime is 409989383. The next prime is 409989403. The reversal of 409989384 is 483989904.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 409989384.

It is not an unprimeable number, because it can be changed into a prime (409989383) 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, 42499 + ... + 51245.

It is an arithmetic number, because the mean of its divisors is an integer number (10497600).

Almost surely, 2^409989384 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 409989384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671846400).

409989384 is an abundant number, since it is smaller than the sum of its proper divisors (933703416).

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

409989384 is a wasteful number, since it uses less digits than its factorization.

409989384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8800 (or 8790 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 409989384 is about 20248.1945861847. The cubic root of 409989384 is about 742.8894722335.

The spelling of 409989384 in words is "four hundred nine million, nine hundred eighty-nine thousand, three hundred eighty-four".