258506220 has 48 divisors (see below), whose sum is σ = 827221248. Its totient is φ = 59087040.

The previous prime is 258506219. The next prime is 258506221. The reversal of 258506220 is 22605852.

It is an interprime number because it is at equal distance from previous prime (258506219) and next prime (258506221).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (258506221) 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, 307326 + ... + 308165.

It is an arithmetic number, because the mean of its divisors is an integer number (17233776).

Almost surely, 2^258506220 is an apocalyptic number.

258506220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258506220 is an abundant number, since it is smaller than the sum of its proper divisors (568715028).

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

258506220 is a wasteful number, since it uses less digits than its factorization.

258506220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615510 (or 615508 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 258506220 is about 16078.1286224486. The cubic root of 258506220 is about 637.0257664921.

The spelling of 258506220 in words is "two hundred fifty-eight million, five hundred six thousand, two hundred twenty".