814374912 has 112 divisors (see below), whose sum is σ = 2339492400. Its totient is φ = 250478592.

The previous prime is 814374907. The next prime is 814374937. The reversal of 814374912 is 219473418.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318214 + ... + 320762.

It is an arithmetic number, because the mean of its divisors is an integer number (20888325).

Almost surely, 2^814374912 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 814374912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169746200).

814374912 is an abundant number, since it is smaller than the sum of its proper divisors (1525117488).

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

814374912 is a wasteful number, since it uses less digits than its factorization.

814374912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591 (or 2567 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 814374912 is about 28537.2548084079. The cubic root of 814374912 is about 933.8449947350.

The spelling of 814374912 in words is "eight hundred fourteen million, three hundred seventy-four thousand, nine hundred twelve".