258006348 has 72 divisors (see below), whose sum is σ = 697421088. Its totient is φ = 80137728.

The previous prime is 258006319. The next prime is 258006349. The reversal of 258006348 is 843600852.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (258006349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60990 + ... + 65082.

It is an arithmetic number, because the mean of its divisors is an integer number (9686404).

Almost surely, 2^258006348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258006348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348710544).

258006348 is an abundant number, since it is smaller than the sum of its proper divisors (439414740).

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

258006348 is a wasteful number, since it uses less digits than its factorization.

258006348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 258006348 is about 16062.5760076023. The cubic root of 258006348 is about 636.6148971852.

The spelling of 258006348 in words is "two hundred fifty-eight million, six thousand, three hundred forty-eight".