814215000 has 320 divisors, whose sum is σ = 2807101440. Its totient is φ = 195840000.

The previous prime is 814214963. The next prime is 814215011. The reversal of 814215000 is 512418.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7904949 + ... + 7905051.

It is an arithmetic number, because the mean of its divisors is an integer number (8772192).

Almost surely, 2^814215000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814215000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403550720).

814215000 is an abundant number, since it is smaller than the sum of its proper divisors (1992886440).

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

814215000 is a wasteful number, since it uses less digits than its factorization.

814215000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 814215000 is about 28534.4528596572. The cubic root of 814215000 is about 933.7838669530.

Adding to 814215000 its reverse (512418), we get a palindrome (814727418).

The spelling of 814215000 in words is "eight hundred fourteen million, two hundred fifteen thousand".