409774144 has 56 divisors (see below), whose sum is σ = 888886208. Its totient is φ = 186278400.

The previous prime is 409774117. The next prime is 409774163. The reversal of 409774144 is 441477904.

It is a junction number, because it is equal to n+sod(n) for n = 409774097 and 409774106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52069 + ... + 59419.

It is an arithmetic number, because the mean of its divisors is an integer number (15872968).

Almost surely, 2^409774144 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 409774144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444443104).

409774144 is an abundant number, since it is smaller than the sum of its proper divisors (479112064).

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

409774144 is a wasteful number, since it uses less digits than its factorization.

409774144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7443 (or 7433 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 409774144 is about 20242.8788466463. The cubic root of 409774144 is about 742.7594464928.

The spelling of 409774144 in words is "four hundred nine million, seven hundred seventy-four thousand, one hundred forty-four".