258306048 has 468 divisors, whose sum is σ = 1019681208. Its totient is φ = 61931520.

The previous prime is 258306017. The next prime is 258306049. The reversal of 258306048 is 840603852.

It is a tau number, because it is divible by the number of its divisors (468).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258306049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19869690 + ... + 19869702.

It is an arithmetic number, because the mean of its divisors is an integer number (2178806).

Almost surely, 2^258306048 is an apocalyptic number.

258306048 is a gapful number since it is divisible by the number (28) 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 258306048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509840604).

258306048 is an abundant number, since it is smaller than the sum of its proper divisors (761375160).

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

258306048 is a wasteful number, since it uses less digits than its factorization.

258306048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 36 counting only the distinct ones).

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

The square root of 258306048 is about 16071.9024387283. The cubic root of 258306048 is about 636.8612989483.

It can be divided in two parts, 25830 and 6048, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 258306048 in words is "two hundred fifty-eight million, three hundred six thousand, forty-eight".