860849952400 has 135 divisors (see below), whose sum is σ = 2163095459931. Its totient is φ = 329205381120.

The previous prime is 860849952379. The next prime is 860849952401. The reversal of 860849952400 is 4259948068.

The square root of 860849952400 is 927820.

It is a perfect power (a square), and thus also a powerful number.

860849952400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 48630834576 + 812219117824 = 220524^2 + 901232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (860849952401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 426796192 + ... + 426798208.

Almost surely, 2^860849952400 is an apocalyptic number.

860849952400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

860849952400 is the 927820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 860849952400

860849952400 is an abundant number, since it is smaller than the sum of its proper divisors (1302245507531).

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

860849952400 is an equidigital number, since it uses as much as digits as its factorization.

860849952400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4098 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 55.

The spelling of 860849952400 in words is "eight hundred sixty billion, eight hundred forty-nine million, nine hundred fifty-two thousand, four hundred".