852698400 has 288 divisors, whose sum is σ = 2922812928. Its totient is φ = 215654400.

The previous prime is 852698387. The next prime is 852698417. The reversal of 852698400 is 4896258.

It is a Cunningham number, because it is equal to 29201²-1.

It is a super-2 number, since 2×852698400² = 1454189122725120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5431122 + ... + 5431278.

It is an arithmetic number, because the mean of its divisors is an integer number (10148656).

Almost surely, 2^852698400 is an apocalyptic number.

852698400 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 852698400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461406464).

852698400 is an abundant number, since it is smaller than the sum of its proper divisors (2070114528).

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

852698400 is a wasteful number, since it uses less digits than its factorization.

852698400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 852698400 is about 29200.9999828773. Note that the first 4 decimals coincide. The cubic root of 852698400 is about 948.2695738555.

The spelling of 852698400 in words is "eight hundred fifty-two million, six hundred ninety-eight thousand, four hundred".