852482400 has 432 divisors, whose sum is σ = 3526649280. Its totient is φ = 176870400.

The previous prime is 852482399. The next prime is 852482431. The reversal of 852482400 is 4284258.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1293271 + ... + 1293929.

It is an arithmetic number, because the mean of its divisors is an integer number (8163540).

Almost surely, 2^852482400 is an apocalyptic number.

852482400 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 852482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763324640).

852482400 is an abundant number, since it is smaller than the sum of its proper divisors (2674166880).

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

852482400 is a wasteful number, since it uses less digits than its factorization.

852482400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 852482400 is about 29197.3012451494. The cubic root of 852482400 is about 948.1894972714.

The spelling of 852482400 in words is "eight hundred fifty-two million, four hundred eighty-two thousand, four hundred".