823850352 has 200 divisors, whose sum is σ = 2597552496. Its totient is φ = 250573824.

The previous prime is 823850347. The next prime is 823850369. The reversal of 823850352 is 253058328.

823850352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1802508 + ... + 1802964.

Almost surely, 2^823850352 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 823850352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298776248).

823850352 is an abundant number, since it is smaller than the sum of its proper divisors (1773702144).

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

823850352 is a wasteful number, since it uses less digits than its factorization.

823850352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 823850352 is about 28702.7934529028. The cubic root of 823850352 is about 937.4528718709.

The spelling of 823850352 in words is "eight hundred twenty-three million, eight hundred fifty thousand, three hundred fifty-two".