814201888 has 24 divisors (see below), whose sum is σ = 1630132560. Its totient is φ = 400200000.

The previous prime is 814201879. The next prime is 814201897. The reversal of 814201888 is 888102418.

It is an interprime number because it is at equal distance from previous prime (814201879) and next prime (814201897).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 814201888.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 213738 + ... + 217513.

It is an arithmetic number, because the mean of its divisors is an integer number (67922190).

Almost surely, 2^814201888 is an apocalyptic number.

It is an amenable number.

814201888 is an abundant number, since it is smaller than the sum of its proper divisors (815930672).

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

814201888 is a wasteful number, since it uses less digits than its factorization.

814201888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431320 (or 431312 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 40.

The square root of 814201888 is about 28534.2231013918. The cubic root of 814201888 is about 933.7788544195.

The spelling of 814201888 in words is "eight hundred fourteen million, two hundred one thousand, eight hundred eighty-eight".