1249997760 has 504 divisors, whose sum is σ = 5027572368. Its totient is φ = 283852800.

The previous prime is 1249997741. The next prime is 1249997789. The reversal of 1249997760 is 677999421.

1249997760 is a `hidden beast` number, since 1 + 2 + 499 + 97 + 7 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1249997697 and 1249997706.

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, 5924055 + ... + 5924265.

It is an arithmetic number, because the mean of its divisors is an integer number (9975342).

Almost surely, 2^1249997760 is an apocalyptic number.

1249997760 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 1249997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513786184).

1249997760 is an abundant number, since it is smaller than the sum of its proper divisors (3777574608).

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

1249997760 is a wasteful number, since it uses less digits than its factorization.

1249997760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 1249997760 is about 35355.3073809294. The cubic root of 1249997760 is about 1077.2167015577.

The spelling of 1249997760 in words is "one billion, two hundred forty-nine million, nine hundred ninety-seven thousand, seven hundred sixty".