814834950 has 192 divisors, whose sum is σ = 2232595200. Its totient is φ = 195955200.

The previous prime is 814834913. The next prime is 814834981. The reversal of 814834950 is 59438418.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7475496 + ... + 7475604.

It is an arithmetic number, because the mean of its divisors is an integer number (11628100).

Almost surely, 2^814834950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814834950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116297600).

814834950 is an abundant number, since it is smaller than the sum of its proper divisors (1417760250).

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

814834950 is a wasteful number, since it uses less digits than its factorization.

814834950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 814834950 is about 28545.3139762028. The cubic root of 814834950 is about 934.0208037343.

The spelling of 814834950 in words is "eight hundred fourteen million, eight hundred thirty-four thousand, nine hundred fifty".