1244930400 has 432 divisors, whose sum is σ = 5315847264. Its totient is φ = 267632640.

The previous prime is 1244930399. The next prime is 1244930419. The reversal of 1244930400 is 40394421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 856074 + ... + 857526.

It is an arithmetic number, because the mean of its divisors is an integer number (12305202).

Almost surely, 2^1244930400 is an apocalyptic number.

1244930400 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 1244930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657923632).

1244930400 is an abundant number, since it is smaller than the sum of its proper divisors (4070916864).

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

1244930400 is a wasteful number, since it uses less digits than its factorization.

1244930400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1244930400 is about 35283.5712478201. The cubic root of 1244930400 is about 1075.7590888816.

It can be divided in two parts, 12449 and 30400, that added together give a square (42849 = 207²).

The spelling of 1244930400 in words is "one billion, two hundred forty-four million, nine hundred thirty thousand, four hundred".