258048504 has 256 divisors, whose sum is σ = 865920000. Its totient is φ = 72013536.

The previous prime is 258048463. The next prime is 258048509. The reversal of 258048504 is 405840852.

258048504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258048509) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6001107 + ... + 6001149.

It is an arithmetic number, because the mean of its divisors is an integer number (3382500).

Almost surely, 2^258048504 is an apocalyptic number.

258048504 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 258048504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432960000).

258048504 is an abundant number, since it is smaller than the sum of its proper divisors (607871496).

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

258048504 is an frugal number, since it uses more digits than its factorization.

258048504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 258048504 is about 16063.8881968221. Note that the first 3 decimals coincide. The cubic root of 258048504 is about 636.6495677483.

The spelling of 258048504 in words is "two hundred fifty-eight million, forty-eight thousand, five hundred four".