258038640 has 120 divisors (see below), whose sum is σ = 869609520. Its totient is φ = 68570112.

The previous prime is 258038623. The next prime is 258038653. The reversal of 258038640 is 46830852.

258038640 is a `hidden beast` number, since 2 + 5 + 8 + 0 + 3 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 258038595 and 258038604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318556 + ... + 319364.

It is an arithmetic number, because the mean of its divisors is an integer number (7246746).

Almost surely, 2^258038640 is an apocalyptic number.

258038640 is a gapful number since it is divisible by the number (20) 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 258038640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434804760).

258038640 is an abundant number, since it is smaller than the sum of its proper divisors (611570880).

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

258038640 is a wasteful number, since it uses less digits than its factorization.

258038640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 258038640 is about 16063.5811698388. The cubic root of 258038640 is about 636.6414555894.

It can be divided in two parts, 25803 and 8640, that added together give a palindrome (34443).

The spelling of 258038640 in words is "two hundred fifty-eight million, thirty-eight thousand, six hundred forty".