1258168448 has 128 divisors (see below), whose sum is σ = 2796595200. Its totient is φ = 561116160.

The previous prime is 1258168447. The next prime is 1258168463. The reversal of 1258168448 is 8448618521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1258168441) 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, 4642553 + ... + 4642823.

It is an arithmetic number, because the mean of its divisors is an integer number (21848400).

Almost surely, 2^1258168448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1258168448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398297600).

1258168448 is an abundant number, since it is smaller than the sum of its proper divisors (1538426752).

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

1258168448 is a wasteful number, since it uses less digits than its factorization.

1258168448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 398 counting only the distinct ones).

The product of its digits is 491520, while the sum is 47.

The square root of 1258168448 is about 35470.6702502222. The cubic root of 1258168448 is about 1079.5587040242.

The spelling of 1258168448 in words is "one billion, two hundred fifty-eight million, one hundred sixty-eight thousand, four hundred forty-eight".