814303296 has 189 divisors, whose sum is σ = 2477710183. Its totient is φ = 255682560.

The previous prime is 814303291. The next prime is 814303307. The reversal of 814303296 is 692303418.

The square root of 814303296 is 28536.

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

It can be written as a sum of positive squares in 4 ways, for example, as 215032896 + 599270400 = 14664^2 + 24480^2 .

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

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 814303296.

It is not an unprimeable number, because it can be changed into a prime (814303291) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19861036 + ... + 19861076.

Almost surely, 2^814303296 is an apocalyptic number.

814303296 is the 28536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814303296

814303296 is an abundant number, since it is smaller than the sum of its proper divisors (1663406887).

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

814303296 is a wasteful number, since it uses less digits than its factorization.

814303296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The cubic root of 814303296 is about 933.8176198725.

Multiplying 814303296 by its sum of digits (36), we get a square (29314918656 = 171216²).

814303296 divided by its sum of digits (36) gives a square (22619536 = 4756²).

The spelling of 814303296 in words is "eight hundred fourteen million, three hundred three thousand, two hundred ninety-six".