1249486560 has 288 divisors, whose sum is σ = 5054579712. Its totient is φ = 285534720.

The previous prime is 1249486549. The next prime is 1249486627. The reversal of 1249486560 is 656849421.

1249486560 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 4 + 86 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1249486560² = 3122433327241267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269865 + ... + 274455.

It is an arithmetic number, because the mean of its divisors is an integer number (17550624).

Almost surely, 2^1249486560 is an apocalyptic number.

1249486560 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 1249486560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527289856).

1249486560 is an abundant number, since it is smaller than the sum of its proper divisors (3805093152).

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

1249486560 is an equidigital number, since it uses as much as digits as its factorization.

1249486560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4628 (or 4608 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1249486560 is about 35348.0771754278. The cubic root of 1249486560 is about 1077.0698350911.

The spelling of 1249486560 in words is "one billion, two hundred forty-nine million, four hundred eighty-six thousand, five hundred sixty".