409877344 has 48 divisors (see below), whose sum is σ = 857158848. Its totient is φ = 192264192.

The previous prime is 409877341. The next prime is 409877353. The reversal of 409877344 is 443778904.

It is a junction number, because it is equal to n+sod(n) for n = 409877294 and 409877303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409877341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198622 + ... + 200674.

It is an arithmetic number, because the mean of its divisors is an integer number (17857476).

Almost surely, 2^409877344 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 409877344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428579424).

409877344 is an abundant number, since it is smaller than the sum of its proper divisors (447281504).

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

409877344 is a wasteful number, since it uses less digits than its factorization.

409877344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The square root of 409877344 is about 20245.4277307248. The cubic root of 409877344 is about 742.8217949368.

The spelling of 409877344 in words is "four hundred nine million, eight hundred seventy-seven thousand, three hundred forty-four".