852444400 has 60 divisors (see below), whose sum is σ = 2137064112. Its totient is φ = 326149120.

The previous prime is 852444391. The next prime is 852444409. The reversal of 852444400 is 4444258.

852444400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (852444391) and next prime (852444409).

It is a super-2 number, since 2×852444400² = 1453322910182720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852444409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37129 + ... + 55528.

Almost surely, 2^852444400 is an apocalyptic number.

852444400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

852444400 is an abundant number, since it is smaller than the sum of its proper divisors (1284619712).

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

852444400 is a wasteful number, since it uses less digits than its factorization.

852444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92698 (or 92687 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

The square root of 852444400 is about 29196.6504928219. The cubic root of 852444400 is about 948.1754083251.

Adding to 852444400 its reverse (4444258), we get a palindrome (856888658).

The spelling of 852444400 in words is "eight hundred fifty-two million, four hundred forty-four thousand, four hundred".