258499104 has 72 divisors (see below), whose sum is σ = 716249520. Its totient is φ = 81620352.

The previous prime is 258499103. The next prime is 258499121. The reversal of 258499104 is 401994852.

It is not an unprimeable number, because it can be changed into a prime (258499103) 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 11 ways as a sum of consecutive naturals, for example, 30927 + ... + 38385.

It is an arithmetic number, because the mean of its divisors is an integer number (9947910).

Almost surely, 2^258499104 is an apocalyptic number.

258499104 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 258499104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358124760).

258499104 is an abundant number, since it is smaller than the sum of its proper divisors (457750416).

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

258499104 is a wasteful number, since it uses less digits than its factorization.

258499104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7510 (or 7483 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 258499104 is about 16077.9073265149. The cubic root of 258499104 is about 637.0199212209.

The spelling of 258499104 in words is "two hundred fifty-eight million, four hundred ninety-nine thousand, one hundred four".