827470350 has 192 divisors, whose sum is σ = 2660544000. Its totient is φ = 189030240.

The previous prime is 827470337. The next prime is 827470363. The reversal of 827470350 is 53074728.

It is an interprime number because it is at equal distance from previous prime (827470337) and next prime (827470363).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 462157 + ... + 463943.

It is an arithmetic number, because the mean of its divisors is an integer number (13857000).

Almost surely, 2^827470350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827470350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330272000).

827470350 is an abundant number, since it is smaller than the sum of its proper divisors (1833073650).

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

827470350 is a wasteful number, since it uses less digits than its factorization.

827470350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 827470350 is about 28765.7843626764. The cubic root of 827470350 is about 938.8239215006.

The spelling of 827470350 in words is "eight hundred twenty-seven million, four hundred seventy thousand, three hundred fifty".