852275520 has 280 divisors, whose sum is σ = 3067007328. Its totient is φ = 224640000.

The previous prime is 852275509. The next prime is 852275521. The reversal of 852275520 is 25572258.

852275520 is a `hidden beast` number, since 85 + 2 + 27 + 552 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852275521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3395395 + ... + 3395645.

Almost surely, 2^852275520 is an apocalyptic number.

852275520 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 852275520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533503664).

852275520 is an abundant number, since it is smaller than the sum of its proper divisors (2214731808).

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

852275520 is a wasteful number, since it uses less digits than its factorization.

852275520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 852275520 is about 29193.7582369931. The cubic root of 852275520 is about 948.1127890158.

The spelling of 852275520 in words is "eight hundred fifty-two million, two hundred seventy-five thousand, five hundred twenty".