258350540 has 144 divisors (see below), whose sum is σ = 661893120. Its totient is φ = 84389760.

The previous prime is 258350527. The next prime is 258350569. The reversal of 258350540 is 45053852.

It is a junction number, because it is equal to n+sod(n) for n = 258350497 and 258350506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3270221 + ... + 3270299.

It is an arithmetic number, because the mean of its divisors is an integer number (4596480).

Almost surely, 2^258350540 is an apocalyptic number.

258350540 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 258350540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330946560).

258350540 is an abundant number, since it is smaller than the sum of its proper divisors (403542580).

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

258350540 is a wasteful number, since it uses less digits than its factorization.

258350540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 258350540 is about 16073.2865338735. The cubic root of 258350540 is about 636.8978623020.

The spelling of 258350540 in words is "two hundred fifty-eight million, three hundred fifty thousand, five hundred forty".