1244038400 has 216 divisors, whose sum is σ = 3449029248. Its totient is φ = 440320000.

The previous prime is 1244038373. The next prime is 1244038417. The reversal of 1244038400 is 48304421.

It is a self number, because there is not a number n which added to its sum of digits gives 1244038400.

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, 2886185 + ... + 2886615.

It is an arithmetic number, because the mean of its divisors is an integer number (15967728).

Almost surely, 2^1244038400 is an apocalyptic number.

1244038400 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 1244038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724514624).

1244038400 is an abundant number, since it is smaller than the sum of its proper divisors (2204990848).

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

1244038400 is a wasteful number, since it uses less digits than its factorization.

1244038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 1244038400 is about 35270.9285389540. The cubic root of 1244038400 is about 1075.5020982419.

The spelling of 1244038400 in words is "one billion, two hundred forty-four million, thirty-eight thousand, four hundred".