814500000 has 252 divisors, whose sum is σ = 2911251798. Its totient is φ = 216000000.

The previous prime is 814499969. The next prime is 814500019. The reversal of 814500000 is 5418.

It can be written as a sum of positive squares in 7 ways, for example, as 683717904 + 130782096 = 26148^2 + 11436^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4499910 + ... + 4500090.

Almost surely, 2^814500000 is an apocalyptic number.

814500000 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 814500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455625899).

814500000 is an abundant number, since it is smaller than the sum of its proper divisors (2096751798).

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

814500000 is an equidigital number, since it uses as much as digits as its factorization.

814500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 814500000 is about 28539.4463856607. The cubic root of 814500000 is about 933.8928051561.

Adding to 814500000 its reverse (5418), we get a palindrome (814505418).

The spelling of 814500000 in words is "eight hundred fourteen million, five hundred thousand".