852151200 has 72 divisors (see below), whose sum is σ = 2773759968. Its totient is φ = 227239680.

The previous prime is 852151171. The next prime is 852151211. The reversal of 852151200 is 2151258.

It is a super-2 number, since 2×852151200² = 1452323335322880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175132 + ... + 179931.

It is an arithmetic number, because the mean of its divisors is an integer number (38524444).

Almost surely, 2^852151200 is an apocalyptic number.

852151200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

852151200 is an abundant number, since it is smaller than the sum of its proper divisors (1921608768).

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

852151200 is a wasteful number, since it uses less digits than its factorization.

852151200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355086 (or 355073 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 852151200 is about 29191.6289370771. The cubic root of 852151200 is about 948.0666869003.

The spelling of 852151200 in words is "eight hundred fifty-two million, one hundred fifty-one thousand, two hundred".