852400 has 30 divisors (see below), whose sum is σ = 2048852. Its totient is φ = 340800.

The previous prime is 852391. The next prime is 852409. The reversal of 852400 is 4258.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (852391) and next prime (852409).

It is not an unprimeable number, because it can be changed into a prime (852409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 666 + ... + 1465.

2⁸⁵²⁴⁰⁰ is an apocalyptic number.

852400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

852400 is an abundant number, since it is smaller than the sum of its proper divisors (1196452).

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

852400 is a wasteful number, since it uses less digits than its factorization.

852400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 852400 is about 923.2551110067. The cubic root of 852400 is about 94.8158945973.

Adding to 852400 its reverse (4258), we get a palindrome (856658).

It can be divided in two parts, 85 and 2400, that added together give a triangular number (2485 = T₇₀).

The spelling of 852400 in words is "eight hundred fifty-two thousand, four hundred".