410082016 has 48 divisors (see below), whose sum is σ = 863850960. Its totient is φ = 191047680.

The previous prime is 410081983. The next prime is 410082061. The reversal of 410082016 is 610280014.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 31560 + ... + 42616.

It is an arithmetic number, because the mean of its divisors is an integer number (17996895).

Almost surely, 2^410082016 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 410082016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431925480).

410082016 is an abundant number, since it is smaller than the sum of its proper divisors (453768944).

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

410082016 is a wasteful number, since it uses less digits than its factorization.

410082016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11147 (or 11139 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 410082016 is about 20250.4818708099. The cubic root of 410082016 is about 742.9454168979.

The spelling of 410082016 in words is "four hundred ten million, eighty-two thousand, sixteen".