258966960 has 360 divisors, whose sum is σ = 1001761776. Its totient is φ = 55157760.

The previous prime is 258966937. The next prime is 258966971. The reversal of 258966960 is 69669852.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4245330 + ... + 4245390.

Almost surely, 2^258966960 is an apocalyptic number.

258966960 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 258966960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500880888).

258966960 is an abundant number, since it is smaller than the sum of its proper divisors (742794816).

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

258966960 is a wasteful number, since it uses less digits than its factorization.

258966960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The square root of 258966960 is about 16092.4504038384. The cubic root of 258966960 is about 637.4040024616.

The spelling of 258966960 in words is "two hundred fifty-eight million, nine hundred sixty-six thousand, nine hundred sixty".