1210086400 has 66 divisors (see below), whose sum is σ = 2999612390. Its totient is φ = 484024320.

The previous prime is 1210086389. The next prime is 1210086403. The reversal of 1210086400 is 46800121.

It can be written as a sum of positive squares in 3 ways, for example, as 9048064 + 1201038336 = 3008^2 + 34656^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1210086403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1966 + ... + 49234.

Almost surely, 2^1210086400 is an apocalyptic number.

1210086400 is a gapful number since it is divisible by the number (10) 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 1210086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499806195).

1210086400 is an abundant number, since it is smaller than the sum of its proper divisors (1789525990).

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

1210086400 is an equidigital number, since it uses as much as digits as its factorization.

1210086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47299 (or 47276 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1210086400 is about 34786.2961523644. The cubic root of 1210086400 is about 1065.6275992575.

Adding to 1210086400 its reverse (46800121), we get a palindrome (1256886521).

The spelling of 1210086400 in words is "one billion, two hundred ten million, eighty-six thousand, four hundred".