814419312 has 80 divisors (see below), whose sum is σ = 2460437760. Its totient is φ = 227275776.

The previous prime is 814419301. The next prime is 814419313. The reversal of 814419312 is 213914418.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814419313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13737 + ... + 42632.

It is an arithmetic number, because the mean of its divisors is an integer number (30755472).

Almost surely, 2^814419312 is an apocalyptic number.

It is an amenable number.

814419312 is an abundant number, since it is smaller than the sum of its proper divisors (1646018448).

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

814419312 is a wasteful number, since it uses less digits than its factorization.

814419312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56430 (or 56424 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 814419312 is about 28538.0327282733. The cubic root of 814419312 is about 933.8619656099.

The spelling of 814419312 in words is "eight hundred fourteen million, four hundred nineteen thousand, three hundred twelve".