258046944 has 144 divisors (see below), whose sum is σ = 735267456. Its totient is φ = 79206400.

The previous prime is 258046939. The next prime is 258046981. The reversal of 258046944 is 449640852.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 258046896 and 258046905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1969759 + ... + 1969889.

It is an arithmetic number, because the mean of its divisors is an integer number (5106024).

Almost surely, 2^258046944 is an apocalyptic number.

258046944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258046944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367633728).

258046944 is an abundant number, since it is smaller than the sum of its proper divisors (477220512).

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

258046944 is a wasteful number, since it uses less digits than its factorization.

258046944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 258046944 is about 16063.8396406339. The cubic root of 258046944 is about 636.6482848172.

The spelling of 258046944 in words is "two hundred fifty-eight million, forty-six thousand, nine hundred forty-four".