1258900864 has 128 divisors (see below), whose sum is σ = 2887073280. Its totient is φ = 541655040.

The previous prime is 1258900807. The next prime is 1258900871. The reversal of 1258900864 is 4680098521.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1258900864.

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 15 ways as a sum of consecutive naturals, for example, 5402892 + ... + 5403124.

It is an arithmetic number, because the mean of its divisors is an integer number (22555260).

Almost surely, 2^1258900864 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 1258900864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443536640).

1258900864 is an abundant number, since it is smaller than the sum of its proper divisors (1628172416).

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

1258900864 is a wasteful number, since it uses less digits than its factorization.

1258900864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 1258900864 is about 35480.9929962508. The cubic root of 1258900864 is about 1079.7681441013.

The spelling of 1258900864 in words is "one billion, two hundred fifty-eight million, nine hundred thousand, eight hundred sixty-four".