1258079280 has 80 divisors (see below), whose sum is σ = 3906342240. Its totient is φ = 334946304.

The previous prime is 1258079279. The next prime is 1258079287. The reversal of 1258079280 is 829708521.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1258079287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157626 + ... + 165414.

It is an arithmetic number, because the mean of its divisors is an integer number (48829278).

Almost surely, 2^1258079280 is an apocalyptic number.

1258079280 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 1258079280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953171120).

1258079280 is an abundant number, since it is smaller than the sum of its proper divisors (2648262960).

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

1258079280 is a wasteful number, since it uses less digits than its factorization.

1258079280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8478 (or 8472 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 1258079280 is about 35469.4133021678. The cubic root of 1258079280 is about 1079.5332001883.

The spelling of 1258079280 in words is "one billion, two hundred fifty-eight million, seventy-nine thousand, two hundred eighty".