258488001 has 12 divisors (see below), whose sum is σ = 373988628. Its totient is φ = 172040544.

The previous prime is 258487981. The next prime is 258488023. The reversal of 258488001 is 100884852.

258488001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 29419776 + 229068225 = 5424^2 + 15135^2 .

It is not a de Polignac number, because 258488001 - 2¹⁴ = 258471617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (258488071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17910 + ... + 28943.

It is an arithmetic number, because the mean of its divisors is an integer number (31165719).

Almost surely, 2^258488001 is an apocalyptic number.

It is an amenable number.

258488001 is a deficient number, since it is larger than the sum of its proper divisors (115500627).

258488001 is a wasteful number, since it uses less digits than its factorization.

258488001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47472 (or 47469 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 258488001 is about 16077.5620353336. The cubic root of 258488001 is about 637.0108007077.

The spelling of 258488001 in words is "two hundred fifty-eight million, four hundred eighty-eight thousand, one".