258849801 has 18 divisors (see below), whose sum is σ = 434938842. Its totient is φ = 147913920.

The previous prime is 258849781. The next prime is 258849839. The reversal of 258849801 is 108948852.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 182898576 + 75951225 = 13524^2 + 8715^2 .

It is not a de Polignac number, because 258849801 - 2⁹ = 258849289 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (258849841) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 293040 + ... + 293921.

It is an arithmetic number, because the mean of its divisors is an integer number (24163269).

Almost surely, 2^258849801 is an apocalyptic number.

258849801 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

258849801 is a deficient number, since it is larger than the sum of its proper divisors (176089041).

258849801 is a wasteful number, since it uses less digits than its factorization.

258849801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586981 (or 586971 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 258849801 is about 16088.8098068191. The cubic root of 258849801 is about 637.3078655130.

The spelling of 258849801 in words is "two hundred fifty-eight million, eight hundred forty-nine thousand, eight hundred one".