258996960 has 192 divisors, whose sum is σ = 914457600. Its totient is φ = 68461056.

The previous prime is 258996953. The next prime is 258996973. The reversal of 258996960 is 69699852.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 258996897 and 258996906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721261 + ... + 721619.

It is an arithmetic number, because the mean of its divisors is an integer number (4762800).

Almost surely, 2^258996960 is an apocalyptic number.

258996960 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 258996960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457228800).

258996960 is an abundant number, since it is smaller than the sum of its proper divisors (655460640).

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

258996960 is a wasteful number, since it uses less digits than its factorization.

258996960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 258996960 is about 16093.3824909495. The cubic root of 258996960 is about 637.4286148442.

The spelling of 258996960 in words is "two hundred fifty-eight million, nine hundred ninety-six thousand, nine hundred sixty".