1258918432 has 72 divisors (see below), whose sum is σ = 2675635200. Its totient is φ = 582426240.

The previous prime is 1258918417. The next prime is 1258918457. The reversal of 1258918432 is 2348198521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 523569 + ... + 525967.

It is an arithmetic number, because the mean of its divisors is an integer number (37161600).

Almost surely, 2^1258918432 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 1258918432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337817600).

1258918432 is an abundant number, since it is smaller than the sum of its proper divisors (1416716768).

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

1258918432 is a wasteful number, since it uses less digits than its factorization.

1258918432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486 (or 2455 counting only the distinct ones).

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

The square root of 1258918432 is about 35481.2405645575. The cubic root of 1258918432 is about 1079.7731668104.

The spelling of 1258918432 in words is "one billion, two hundred fifty-eight million, nine hundred eighteen thousand, four hundred thirty-two".