852925248 has 224 divisors, whose sum is σ = 2896819200. Its totient is φ = 241049088.

The previous prime is 852925247. The next prime is 852925273. The reversal of 852925248 is 842529258.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852925247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1293943 + ... + 1294601.

Almost surely, 2^852925248 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 852925248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448409600).

852925248 is an abundant number, since it is smaller than the sum of its proper divisors (2043893952).

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

852925248 is a wasteful number, since it uses less digits than its factorization.

852925248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 778 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 852925248 is about 29204.8839751162. The cubic root of 852925248 is about 948.3536575062.

The spelling of 852925248 in words is "eight hundred fifty-two million, nine hundred twenty-five thousand, two hundred forty-eight".