1259979840 has 448 divisors, whose sum is σ = 5161605120. Its totient is φ = 283392000.

The previous prime is 1259979829. The next prime is 1259979881. The reversal of 1259979840 is 489799521.

1259979840 is a `hidden beast` number, since 1 + 2 + 599 + 7 + 9 + 8 + 40 = 666.

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 (54).

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, 5019715 + ... + 5019965.

It is an arithmetic number, because the mean of its divisors is an integer number (11521440).

Almost surely, 2^1259979840 is an apocalyptic number.

1259979840 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 1259979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580802560).

1259979840 is an abundant number, since it is smaller than the sum of its proper divisors (3901625280).

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

1259979840 is a wasteful number, since it uses less digits than its factorization.

1259979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The square root of 1259979840 is about 35496.1947256322. The cubic root of 1259979840 is about 1080.0765377856.

The spelling of 1259979840 in words is "one billion, two hundred fifty-nine million, nine hundred seventy-nine thousand, eight hundred forty".