258924960 has 288 divisors, whose sum is σ = 1069915392. Its totient is φ = 55664640.

The previous prime is 258924959. The next prime is 258924971. The reversal of 258924960 is 69429852.

258924960 is a `hidden beast` number, since 2 + 589 + 2 + 4 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×258924960² = 134084269822003200, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 170605 + ... + 172115.

It is an arithmetic number, because the mean of its divisors is an integer number (3714984).

Almost surely, 2^258924960 is an apocalyptic number.

258924960 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 258924960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534957696).

258924960 is an abundant number, since it is smaller than the sum of its proper divisors (810990432).

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

258924960 is a wasteful number, since it uses less digits than its factorization.

258924960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 258924960 is about 16091.1453911771. The cubic root of 258924960 is about 637.3695419323.

The spelling of 258924960 in words is "two hundred fifty-eight million, nine hundred twenty-four thousand, nine hundred sixty".