1249340400 has 360 divisors, whose sum is σ = 5406570624. Its totient is φ = 259545600.

The previous prime is 1249340377. The next prime is 1249340413. The reversal of 1249340400 is 40439421.

1249340400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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, 274947 + ... + 279453.

Almost surely, 2^1249340400 is an apocalyptic number.

1249340400 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 1249340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703285312).

1249340400 is an abundant number, since it is smaller than the sum of its proper divisors (4157230224).

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

1249340400 is a wasteful number, since it uses less digits than its factorization.

1249340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4549 (or 4535 counting only the distinct ones).

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

The square root of 1249340400 is about 35346.0096757753. The cubic root of 1249340400 is about 1077.0278363292.

Adding to 1249340400 its reverse (40439421), we get a palindrome (1289779821).

The spelling of 1249340400 in words is "one billion, two hundred forty-nine million, three hundred forty thousand, four hundred".