258038784 has 264 divisors, whose sum is σ = 831540528. Its totient is φ = 79626240.

The previous prime is 258038741. The next prime is 258038797. The reversal of 258038784 is 487830852.

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, 4230114 + ... + 4230174.

Almost surely, 2^258038784 is an apocalyptic number.

258038784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258038784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415770264).

258038784 is an abundant number, since it is smaller than the sum of its proper divisors (573501744).

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

258038784 is an equidigital number, since it uses as much as digits as its factorization.

258038784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 258038784 is about 16063.5856520268. The cubic root of 258038784 is about 636.6415740166.

The spelling of 258038784 in words is "two hundred fifty-eight million, thirty-eight thousand, seven hundred eighty-four".