814988304 has 225 divisors, whose sum is σ = 2596776039. Its totient is φ = 246654720.

The previous prime is 814988267. The next prime is 814988309. The reversal of 814988304 is 403889418.

The square root of 814988304 is 28548.

It is a perfect power (a square), and thus also a powerful number.

814988304 is a `hidden beast` number, since 81 + 498 + 83 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 573123600 + 241864704 = 23940^2 + 15552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 814988304.

It is not an unprimeable number, because it can be changed into a prime (814988309) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13360434 + ... + 13360494.

Almost surely, 2^814988304 is an apocalyptic number.

814988304 is the 28548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814988304

814988304 is an abundant number, since it is smaller than the sum of its proper divisors (1781787735).

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

814988304 is a wasteful number, since it uses less digits than its factorization.

814988304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The cubic root of 814988304 is about 934.0793950852.

The spelling of 814988304 in words is "eight hundred fourteen million, nine hundred eighty-eight thousand, three hundred four".