409824044 has 36 divisors (see below), whose sum is σ = 845742744. Its totient is φ = 173226816.

The previous prime is 409824043. The next prime is 409824071. The reversal of 409824044 is 440428904.

It is a junction number, because it is equal to n+sod(n) for n = 409823995 and 409824013.

It is not an unprimeable number, because it can be changed into a prime (409824043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14 + ... + 28629.

It is an arithmetic number, because the mean of its divisors is an integer number (23492854).

Almost surely, 2^409824044 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 409824044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422871372).

409824044 is an abundant number, since it is smaller than the sum of its proper divisors (435918700).

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

409824044 is a wasteful number, since it uses less digits than its factorization.

409824044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28734 (or 28725 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 409824044 is about 20244.1113413259. Note that the first 3 decimals coincide. The cubic root of 409824044 is about 742.7895949640.

The spelling of 409824044 in words is "four hundred nine million, eight hundred twenty-four thousand, forty-four".