814135400 has 48 divisors (see below), whose sum is σ = 2038476300. Its totient is φ = 300602880.

The previous prime is 814135397. The next prime is 814135403. The reversal of 814135400 is 4531418.

It is an interprime number because it is at equal distance from previous prime (814135397) and next prime (814135403).

It can be written as a sum of positive squares in 6 ways, for example, as 20811844 + 793323556 = 4562^2 + 28166^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 814135400.

It is not an unprimeable number, because it can be changed into a prime (814135403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153965 + ... + 159164.

Almost surely, 2^814135400 is an apocalyptic number.

It is an amenable number.

814135400 is an abundant number, since it is smaller than the sum of its proper divisors (1224340900).

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

814135400 is a wasteful number, since it uses less digits than its factorization.

814135400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313158 (or 313149 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 814135400 is about 28533.0580204786. The cubic root of 814135400 is about 933.7534361625.

Adding to 814135400 its reverse (4531418), we get a palindrome (818666818).

The spelling of 814135400 in words is "eight hundred fourteen million, one hundred thirty-five thousand, four hundred".