852442900 has 72 divisors (see below), whose sum is σ = 1985732280. Its totient is φ = 316477440.

The previous prime is 852442897. The next prime is 852442919. The reversal of 852442900 is 9244258.

It can be written as a sum of positive squares in 12 ways, for example, as 341954064 + 510488836 = 18492^2 + 22594^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120666 + ... + 127534.

It is an arithmetic number, because the mean of its divisors is an integer number (27579615).

Almost surely, 2^852442900 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 852442900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992866140).

852442900 is an abundant number, since it is smaller than the sum of its proper divisors (1133289380).

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

852442900 is a wasteful number, since it uses less digits than its factorization.

852442900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6973 (or 6966 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 852442900 is about 29196.6248049325. The cubic root of 852442900 is about 948.1748521739.

The spelling of 852442900 in words is "eight hundred fifty-two million, four hundred forty-two thousand, nine hundred".