258381360 has 320 divisors, whose sum is σ = 946546560. Its totient is φ = 64696320.

The previous prime is 258381359. The next prime is 258381439. The reversal of 258381360 is 63183852.

258381360 = T₃₀₉₆ + T₃₀₉₇ + ... + T₃₁₄₈.

258381360 is a `hidden beast` number, since 2 + 583 + 8 + 13 + 60 = 666.

258381360 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4235730 + ... + 4235790.

It is an arithmetic number, because the mean of its divisors is an integer number (2957958).

Almost surely, 2^258381360 is an apocalyptic number.

258381360 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 258381360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473273280).

258381360 is an abundant number, since it is smaller than the sum of its proper divisors (688165200).

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

258381360 is a wasteful number, since it uses less digits than its factorization.

258381360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 258381360 is about 16074.2452388907. The cubic root of 258381360 is about 636.9231875979.

The spelling of 258381360 in words is "two hundred fifty-eight million, three hundred eighty-one thousand, three hundred sixty".