258480 has 60 divisors (see below), whose sum is σ = 870480. Its totient is φ = 68736.

The previous prime is 258469. The next prime is 258487. The reversal of 258480 is 84852.

258480 = T₃₇ + T₃₈ + ... + T₁₁₆.

258480 is a `hidden beast` number, since 2 + 584 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258480.

It is not an unprimeable number, because it can be changed into a prime (258487) by changing a digit.

258480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 541 + ... + 899.

It is an arithmetic number, because the mean of its divisors is an integer number (14508).

2²⁵⁸⁴⁸⁰ is an apocalyptic number.

258480 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 258480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435240).

258480 is an abundant number, since it is smaller than the sum of its proper divisors (612000).

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

258480 is a wasteful number, since it uses less digits than its factorization.

258480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 258480 is about 508.4092839436. The cubic root of 258480 is about 63.7004228158.

The spelling of 258480 in words is "two hundred fifty-eight thousand, four hundred eighty".