258026496 has 264 divisors, whose sum is σ = 863080704. Its totient is φ = 67092480.

The previous prime is 258026491. The next prime is 258026501. The reversal of 258026496 is 694620852.

It is an interprime number because it is at equal distance from previous prime (258026491) and next prime (258026501).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (258026491) 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, 3634141 + ... + 3634211.

Almost surely, 2^258026496 is an apocalyptic number.

258026496 is a gapful number since it is divisible by the number (26) 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 258026496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431540352).

258026496 is an abundant number, since it is smaller than the sum of its proper divisors (605054208).

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

258026496 is a wasteful number, since it uses less digits than its factorization.

258026496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 258026496 is about 16063.2031674881. The cubic root of 258026496 is about 636.6314680735.

The spelling of 258026496 in words is "two hundred fifty-eight million, twenty-six thousand, four hundred ninety-six".