1258863872 has 216 divisors, whose sum is σ = 3215032128. Its totient is φ = 479969280.

The previous prime is 1258863863. The next prime is 1258863887. The reversal of 1258863872 is 2783688521.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1258863872.

It is a congruent number.

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, 29275883 + ... + 29275925.

It is an arithmetic number, because the mean of its divisors is an integer number (14884408).

Almost surely, 2^1258863872 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 1258863872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607516064).

1258863872 is an abundant number, since it is smaller than the sum of its proper divisors (1956168256).

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

1258863872 is an equidigital number, since it uses as much as digits as its factorization.

1258863872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 100 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 50.

The square root of 1258863872 is about 35480.4716992320. The cubic root of 1258863872 is about 1079.7575678980.

The spelling of 1258863872 in words is "one billion, two hundred fifty-eight million, eight hundred sixty-three thousand, eight hundred seventy-two".