258849360 has 720 divisors, whose sum is σ = 1190816640. Its totient is φ = 49674240.

The previous prime is 258849329. The next prime is 258849377. The reversal of 258849360 is 63948852.

258849360 is a `hidden beast` number, since 2 + 588 + 4 + 9 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 8925826 + ... + 8925854.

It is an arithmetic number, because the mean of its divisors is an integer number (1653912).

Almost surely, 2^258849360 is an apocalyptic number.

258849360 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 258849360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595408320).

258849360 is an abundant number, since it is smaller than the sum of its proper divisors (931967280).

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

258849360 is a wasteful number, since it uses less digits than its factorization.

258849360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 258849360 is about 16088.7961016354. The cubic root of 258849360 is about 637.3075035876.

The spelling of 258849360 in words is "two hundred fifty-eight million, eight hundred forty-nine thousand, three hundred sixty".