410115616 has 96 divisors (see below), whose sum is σ = 896168448. Its totient is φ = 183889920.

The previous prime is 410115577. The next prime is 410115619. The reversal of 410115616 is 616511014.

It is not an unprimeable number, because it can be changed into a prime (410115619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1399566 + ... + 1399858.

It is an arithmetic number, because the mean of its divisors is an integer number (9335088).

Almost surely, 2^410115616 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 410115616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448084224).

410115616 is an abundant number, since it is smaller than the sum of its proper divisors (486052832).

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

410115616 is a wasteful number, since it uses less digits than its factorization.

410115616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 410115616 is about 20251.3114637053. The cubic root of 410115616 is about 742.9657073791.

The spelling of 410115616 in words is "four hundred ten million, one hundred fifteen thousand, six hundred sixteen".