814476928 has 48 divisors (see below), whose sum is σ = 1645210530. Its totient is φ = 401600000.

The previous prime is 814476881. The next prime is 814476961. The reversal of 814476928 is 829674418.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 487879744 + 326597184 = 22088^2 + 18072^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3244803 + ... + 3245053.

Almost surely, 2^814476928 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 814476928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822605265).

814476928 is an abundant number, since it is smaller than the sum of its proper divisors (830733602).

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

814476928 is an equidigital number, since it uses as much as digits as its factorization.

814476928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 354 counting only the distinct ones).

The product of its digits is 774144, while the sum is 49.

The square root of 814476928 is about 28539.0421703322. The cubic root of 814476928 is about 933.8839870762.

The spelling of 814476928 in words is "eight hundred fourteen million, four hundred seventy-six thousand, nine hundred twenty-eight".