258090624 has 320 divisors, whose sum is σ = 876775680. Its totient is φ = 74649600.

The previous prime is 258090607. The next prime is 258090629. The reversal of 258090624 is 426090852.

It is a happy number.

258090624 is a `hidden beast` number, since 25 + 8 + 0 + 9 + 0 + 624 = 666.

It is a super-2 number, since 2×258090624² = 133221540393418752, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (258090629) 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 39 ways as a sum of consecutive naturals, for example, 3535452 + ... + 3535524.

It is an arithmetic number, because the mean of its divisors is an integer number (2739924).

Almost surely, 2^258090624 is an apocalyptic number.

258090624 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 258090624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438387840).

258090624 is an abundant number, since it is smaller than the sum of its proper divisors (618685056).

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

258090624 is a wasteful number, since it uses less digits than its factorization.

258090624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 258090624 is about 16065.1991584294. The cubic root of 258090624 is about 636.6842049328.

The spelling of 258090624 in words is "two hundred fifty-eight million, ninety thousand, six hundred twenty-four".