814827468 has 288 divisors, whose sum is σ = 2540423424. Its totient is φ = 201180672.

The previous prime is 814827449. The next prime is 814827473. The reversal of 814827468 is 864728418.

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 95 ways as a sum of consecutive naturals, for example, 12161571 + ... + 12161637.

Almost surely, 2^814827468 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 814827468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270211712).

814827468 is an abundant number, since it is smaller than the sum of its proper divisors (1725595956).

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

814827468 is a wasteful number, since it uses less digits than its factorization.

814827468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 172 counting only the distinct ones).

The product of its digits is 688128, while the sum is 48.

The square root of 814827468 is about 28545.1829211165. The cubic root of 814827468 is about 934.0179449283.

The spelling of 814827468 in words is "eight hundred fourteen million, eight hundred twenty-seven thousand, four hundred sixty-eight".