258829480 has 128 divisors (see below), whose sum is σ = 722292480. Its totient is φ = 81285120.

The previous prime is 258829463. The next prime is 258829481. The reversal of 258829480 is 84928852.

It is a self number, because there is not a number n which added to its sum of digits gives 258829480.

It is not an unprimeable number, because it can be changed into a prime (258829481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 767872 + ... + 768208.

It is an arithmetic number, because the mean of its divisors is an integer number (5642910).

Almost surely, 2^258829480 is an apocalyptic number.

258829480 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 258829480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361146240).

258829480 is an abundant number, since it is smaller than the sum of its proper divisors (463463000).

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

258829480 is a wasteful number, since it uses less digits than its factorization.

258829480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The square root of 258829480 is about 16088.1782685300. The cubic root of 258829480 is about 637.2911877949.

The spelling of 258829480 in words is "two hundred fifty-eight million, eight hundred twenty-nine thousand, four hundred eighty".