1249026240 has 448 divisors, whose sum is σ = 5043391488. Its totient is φ = 254361600.

The previous prime is 1249026221. The next prime is 1249026253. The reversal of 1249026240 is 426209421.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1249026198 and 1249026207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4508982 + ... + 4509258.

Almost surely, 2^1249026240 is an apocalyptic number.

1249026240 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 1249026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521695744).

1249026240 is an abundant number, since it is smaller than the sum of its proper divisors (3794365248).

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

1249026240 is a wasteful number, since it uses less digits than its factorization.

1249026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1249026240 is about 35341.5653303585. The cubic root of 1249026240 is about 1076.9375520399.

The spelling of 1249026240 in words is "one billion, two hundred forty-nine million, twenty-six thousand, two hundred forty".