814384100 has 18 divisors (see below), whose sum is σ = 1767213714. Its totient is φ = 325753600.

The previous prime is 814384093. The next prime is 814384111. The reversal of 814384100 is 1483418.

It can be written as a sum of positive squares in 3 ways, for example, as 188183524 + 626200576 = 13718^2 + 25024^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4071821 + ... + 4072020.

Almost surely, 2^814384100 is an apocalyptic number.

It is an amenable number.

814384100 is an abundant number, since it is smaller than the sum of its proper divisors (952829614).

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

814384100 is a wasteful number, since it uses less digits than its factorization.

814384100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8143855 (or 8143848 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 814384100 is about 28537.4157905021. The cubic root of 814384100 is about 933.8485066865.

The spelling of 814384100 in words is "eight hundred fourteen million, three hundred eighty-four thousand, one hundred".