1243314400 has 144 divisors (see below), whose sum is σ = 3221512560. Its totient is φ = 467251200.

The previous prime is 1243314349. The next prime is 1243314469. The reversal of 1243314400 is 44133421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2386140 + ... + 2386660.

It is an arithmetic number, because the mean of its divisors is an integer number (22371615).

Almost surely, 2^1243314400 is an apocalyptic number.

1243314400 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 1243314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610756280).

1243314400 is an abundant number, since it is smaller than the sum of its proper divisors (1978198160).

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

1243314400 is a wasteful number, since it uses less digits than its factorization.

1243314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1243314400 is about 35260.6636352749. The cubic root of 1243314400 is about 1075.2934190933.

Adding to 1243314400 its reverse (44133421), we get a palindrome (1287447821).

The spelling of 1243314400 in words is "one billion, two hundred forty-three million, three hundred fourteen thousand, four hundred".