814082412 has 96 divisors (see below), whose sum is σ = 2248323840. Its totient is φ = 226010880.

The previous prime is 814082371. The next prime is 814082431. The reversal of 814082412 is 214280418.

It is a self number, because there is not a number n which added to its sum of digits gives 814082412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236818 + ... + 240230.

It is an arithmetic number, because the mean of its divisors is an integer number (23420040).

Almost surely, 2^814082412 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 814082412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124161920).

814082412 is an abundant number, since it is smaller than the sum of its proper divisors (1434241428).

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

814082412 is a wasteful number, since it uses less digits than its factorization.

814082412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 814082412 is about 28532.1294683730. The cubic root of 814082412 is about 933.7331779432.

The spelling of 814082412 in words is "eight hundred fourteen million, eighty-two thousand, four hundred twelve".