1258914468 has 72 divisors (see below), whose sum is σ = 3447474912. Its totient is φ = 356487936.

The previous prime is 1258914457. The next prime is 1258914487. The reversal of 1258914468 is 8644198521.

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 23 ways as a sum of consecutive naturals, for example, 56971 + ... + 75917.

It is an arithmetic number, because the mean of its divisors is an integer number (47881596).

Almost surely, 2^1258914468 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 1258914468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723737456).

1258914468 is an abundant number, since it is smaller than the sum of its proper divisors (2188560444).

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

1258914468 is a wasteful number, since it uses less digits than its factorization.

1258914468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19081 (or 19072 counting only the distinct ones).

The product of its digits is 552960, while the sum is 48.

The square root of 1258914468 is about 35481.1847040090. The cubic root of 1258914468 is about 1079.7720335029.

The spelling of 1258914468 in words is "one billion, two hundred fifty-eight million, nine hundred fourteen thousand, four hundred sixty-eight".