258288480 has 192 divisors, whose sum is σ = 957458880. Its totient is φ = 64806912.

The previous prime is 258288469. The next prime is 258288493. The reversal of 258288480 is 84882852.

258288480 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71682 + ... + 75198.

It is an arithmetic number, because the mean of its divisors is an integer number (4986765).

Almost surely, 2^258288480 is an apocalyptic number.

258288480 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 258288480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478729440).

258288480 is an abundant number, since it is smaller than the sum of its proper divisors (699170400).

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

258288480 is a wasteful number, since it uses less digits than its factorization.

258288480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3558 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 258288480 is about 16071.3558855499. The cubic root of 258288480 is about 636.8468604776.

The spelling of 258288480 in words is "two hundred fifty-eight million, two hundred eighty-eight thousand, four hundred eighty".