258672048 has 80 divisors (see below), whose sum is σ = 684182400. Its totient is φ = 84188160.

The previous prime is 258672031. The next prime is 258672049. The reversal of 258672048 is 840276852.

It is a happy number.

258672048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×258672048² = 133822456833028608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (258672049) 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, 682323 + ... + 682701.

It is an arithmetic number, because the mean of its divisors is an integer number (8552280).

Almost surely, 2^258672048 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 258672048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342091200).

258672048 is an abundant number, since it is smaller than the sum of its proper divisors (425510352).

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

258672048 is a wasteful number, since it uses less digits than its factorization.

258672048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 258672048 is about 16083.2847391321. The cubic root of 258672048 is about 637.1619516469.

The spelling of 258672048 in words is "two hundred fifty-eight million, six hundred seventy-two thousand, forty-eight".