852249600 has 396 divisors, whose sum is σ = 3187572024. Its totient is φ = 225607680.

The previous prime is 852249599. The next prime is 852249623. The reversal of 852249600 is 6942258.

It is a happy number.

852249600 is a `hidden beast` number, since 8 + 5 + 2 + 2 + 49 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6220732 + ... + 6220868.

Almost surely, 2^852249600 is an apocalyptic number.

852249600 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 852249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593786012).

852249600 is an abundant number, since it is smaller than the sum of its proper divisors (2335322424).

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

852249600 is a wasteful number, since it uses less digits than its factorization.

852249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 852249600 is about 29193.3143031071. The cubic root of 852249600 is about 948.1031773617.

The spelling of 852249600 in words is "eight hundred fifty-two million, two hundred forty-nine thousand, six hundred".