814436820 has 36 divisors (see below), whose sum is σ = 2470458900. Its totient is φ = 217183104.

The previous prime is 814436807. The next prime is 814436851. The reversal of 814436820 is 28634418.

It can be written as a sum of positive squares in 2 ways, for example, as 488056464 + 326380356 = 22092^2 + 18066^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2262145 + ... + 2262504.

Almost surely, 2^814436820 is an apocalyptic number.

It is an amenable number.

814436820 is an abundant number, since it is smaller than the sum of its proper divisors (1656022080).

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

814436820 is a wasteful number, since it uses less digits than its factorization.

814436820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524664 (or 4524659 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 814436820 is about 28538.3394751692. The cubic root of 814436820 is about 933.8686574691.

The spelling of 814436820 in words is "eight hundred fourteen million, four hundred thirty-six thousand, eight hundred twenty".