258545280 has 128 divisors (see below), whose sum is σ = 941892480. Its totient is φ = 59092992.

The previous prime is 258545227. The next prime is 258545281. The reversal of 258545280 is 82545852.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (258545281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3822 + ... + 23058.

It is an arithmetic number, because the mean of its divisors is an integer number (7358535).

Almost surely, 2^258545280 is an apocalyptic number.

258545280 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 258545280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470946240).

258545280 is an abundant number, since it is smaller than the sum of its proper divisors (683347200).

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

258545280 is a wasteful number, since it uses less digits than its factorization.

258545280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19266 (or 19254 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 39.

The square root of 258545280 is about 16079.3432701712. The cubic root of 258545280 is about 637.0578495026.

The spelling of 258545280 in words is "two hundred fifty-eight million, five hundred forty-five thousand, two hundred eighty".