814948092 has 72 divisors (see below), whose sum is σ = 2375973600. Its totient is φ = 230698368.

The previous prime is 814948081. The next prime is 814948117. The reversal of 814948092 is 290849418.

814948092 is a `hidden beast` number, since 81 + 4 + 9 + 480 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12634 + ... + 42302.

Almost surely, 2^814948092 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 814948092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187986800).

814948092 is an abundant number, since it is smaller than the sum of its proper divisors (1561025508).

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

814948092 is a wasteful number, since it uses less digits than its factorization.

814948092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29795 (or 29790 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 814948092 is about 28547.2957037965. The cubic root of 814948092 is about 934.0640321578.

The spelling of 814948092 in words is "eight hundred fourteen million, nine hundred forty-eight thousand, ninety-two".