852984400 has 30 divisors (see below), whose sum is σ = 2049295982. Its totient is φ = 341193600.

The previous prime is 852984383. The next prime is 852984449. The reversal of 852984400 is 4489258.

It can be written as a sum of positive squares in 3 ways, for example, as 95413824 + 757570576 = 9768^2 + 27524^2 .

It is a super-3 number, since 3×852984400³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1065831 + ... + 1066630.

Almost surely, 2^852984400 is an apocalyptic number.

852984400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

852984400 is an abundant number, since it is smaller than the sum of its proper divisors (1196311582).

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

852984400 is a wasteful number, since it uses less digits than its factorization.

852984400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132479 (or 2132468 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 852984400 is about 29205.8966648860. The cubic root of 852984400 is about 948.3755803804.

It can be divided in two parts, 85298 and 4400, that added together give a palindrome (89698).

The spelling of 852984400 in words is "eight hundred fifty-two million, nine hundred eighty-four thousand, four hundred".