814216000 has 112 divisors (see below), whose sum is σ = 2171791440. Its totient is φ = 300595200.

The previous prime is 814215947. The next prime is 814216021. The reversal of 814216000 is 612418.

It can be written as a sum of positive squares in 8 ways, for example, as 582932736 + 231283264 = 24144^2 + 15208^2 .

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 15 ways as a sum of consecutive naturals, for example, 100086 + ... + 107914.

It is an arithmetic number, because the mean of its divisors is an integer number (19390995).

Almost surely, 2^814216000 is an apocalyptic number.

814216000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085895720).

814216000 is an abundant number, since it is smaller than the sum of its proper divisors (1357575440).

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

814216000 is a wasteful number, since it uses less digits than its factorization.

814216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7869 (or 7849 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 814216000 is about 28534.4703823288. The cubic root of 814216000 is about 933.7842492367.

Adding to 814216000 its reverse (612418), we get a palindrome (814828418).

It can be divided in two parts, 8142 and 16000, that added together give a palindrome (24142).

The spelling of 814216000 in words is "eight hundred fourteen million, two hundred sixteen thousand".