852403200 has 264 divisors, whose sum is σ = 3076395360. Its totient is φ = 206438400.

The previous prime is 852403199. The next prime is 852403219. The reversal of 852403200 is 2304258.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 844296 + ... + 845304.

Almost surely, 2^852403200 is an apocalyptic number.

852403200 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 852403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538197680).

852403200 is an abundant number, since it is smaller than the sum of its proper divisors (2223992160).

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

852403200 is a wasteful number, since it uses less digits than its factorization.

852403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 852403200 is about 29195.9449239102. The cubic root of 852403200 is about 948.1601324681.

Adding to 852403200 its reverse (2304258), we get a palindrome (854707458).

The spelling of 852403200 in words is "eight hundred fifty-two million, four hundred three thousand, two hundred".