1209648400 has 135 divisors (see below), whose sum is σ = 3051750639. Its totient is φ = 460765440.

The previous prime is 1209648383. The next prime is 1209648403. The reversal of 1209648400 is 48469021.

The square root of 1209648400 is 34780.

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

It can be written as a sum of positive squares in 4 ways, for example, as 114832656 + 1094815744 = 10716^2 + 33088^2 .

It is not an unprimeable number, because it can be changed into a prime (1209648403) 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, 25737177 + ... + 25737223.

Almost surely, 2^1209648400 is an apocalyptic number.

1209648400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1209648400 is the 34780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1209648400

1209648400 is an abundant number, since it is smaller than the sum of its proper divisors (1842102239).

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

1209648400 is an equidigital number, since it uses as much as digits as its factorization.

1209648400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The cubic root of 1209648400 is about 1065.4990130635.

The spelling of 1209648400 in words is "one billion, two hundred nine million, six hundred forty-eight thousand, four hundred".