816284250 has 256 divisors, whose sum is σ = 2415329280. Its totient is φ = 203688000.

The previous prime is 816284243. The next prime is 816284299. The reversal of 816284250 is 52482618.

816284250 is a `hidden beast` number, since 8 + 1 + 628 + 4 + 25 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 127 ways as a sum of consecutive naturals, for example, 9834709 + ... + 9834791.

It is an arithmetic number, because the mean of its divisors is an integer number (9434880).

Almost surely, 2^816284250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816284250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207664640).

816284250 is an abundant number, since it is smaller than the sum of its proper divisors (1599045030).

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

816284250 is a wasteful number, since it uses less digits than its factorization.

816284250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 816284250 is about 28570.6886511333. The cubic root of 816284250 is about 934.5742387476.

The spelling of 816284250 in words is "eight hundred sixteen million, two hundred eighty-four thousand, two hundred fifty".