258966720 has 280 divisors, whose sum is σ = 939722784. Its totient is φ = 67682304.

The previous prime is 258966709. The next prime is 258966767. The reversal of 258966720 is 27669852.

258966720 is a `hidden beast` number, since 2 + 589 + 6 + 67 + 2 + 0 = 666.

258966720 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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2514189 + ... + 2514291.

Almost surely, 2^258966720 is an apocalyptic number.

258966720 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 258966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469861392).

258966720 is an abundant number, since it is smaller than the sum of its proper divisors (680756064).

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

258966720 is a wasteful number, since it uses less digits than its factorization.

258966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 258966720 is about 16092.4429469239. The cubic root of 258966720 is about 637.4038055548.

The spelling of 258966720 in words is "two hundred fifty-eight million, nine hundred sixty-six thousand, seven hundred twenty".