814030848 has 168 divisors, whose sum is σ = 2403255036. Its totient is φ = 265420800.

The previous prime is 814030837. The next prime is 814030871. The reversal of 814030848 is 848030418.

It can be written as a sum of positive squares in 2 ways, for example, as 522031104 + 291999744 = 22848^2 + 17088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4497318 + ... + 4497498.

Almost surely, 2^814030848 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 814030848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201627518).

814030848 is an abundant number, since it is smaller than the sum of its proper divisors (1589224188).

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

814030848 is a wasteful number, since it uses less digits than its factorization.

814030848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 814030848 is about 28531.2258411727. The cubic root of 814030848 is about 933.7134632994.

The spelling of 814030848 in words is "eight hundred fourteen million, thirty thousand, eight hundred forty-eight".