1249253280 has 576 divisors, whose sum is σ = 5072191488. Its totient is φ = 287400960.

The previous prime is 1249253273. The next prime is 1249253293. The reversal of 1249253280 is 823529421.

It is a happy number.

1249253280 is a `hidden beast` number, since 1 + 2 + 49 + 2 + 532 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9836577 + ... + 9836703.

It is an arithmetic number, because the mean of its divisors is an integer number (8805888).

Almost surely, 2^1249253280 is an apocalyptic number.

1249253280 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 1249253280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536095744).

1249253280 is an abundant number, since it is smaller than the sum of its proper divisors (3822938208).

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

1249253280 is a wasteful number, since it uses less digits than its factorization.

1249253280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1249253280 is about 35344.7772662384. Note that the first 3 decimals coincide. The cubic root of 1249253280 is about 1077.0028010262.

The spelling of 1249253280 in words is "one billion, two hundred forty-nine million, two hundred fifty-three thousand, two hundred eighty".