258890580 has 240 divisors, whose sum is σ = 922078080. Its totient is φ = 60279552.

The previous prime is 258890563. The next prime is 258890609. The reversal of 258890580 is 85098852.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 399817 + ... + 400463.

It is an arithmetic number, because the mean of its divisors is an integer number (3841992).

Almost surely, 2^258890580 is an apocalyptic number.

258890580 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 258890580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461039040).

258890580 is an abundant number, since it is smaller than the sum of its proper divisors (663187500).

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

258890580 is a wasteful number, since it uses less digits than its factorization.

258890580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 258890580 is about 16090.0770663164. The cubic root of 258890580 is about 637.3413307538.

The spelling of 258890580 in words is "two hundred fifty-eight million, eight hundred ninety thousand, five hundred eighty".