258097536 has 256 divisors, whose sum is σ = 846028800. Its totient is φ = 77045760.

The previous prime is 258097529. The next prime is 258097571. The reversal of 258097536 is 635790852.

It is a happy number.

258097536 is a `hidden beast` number, since 25 + 8 + 0 + 97 + 536 = 666.

It is a super-2 number, since 2×258097536² = 133228676178542592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 258097491 and 258097500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1351201 + ... + 1351391.

It is an arithmetic number, because the mean of its divisors is an integer number (3304800).

Almost surely, 2^258097536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258097536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423014400).

258097536 is an abundant number, since it is smaller than the sum of its proper divisors (587931264).

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

258097536 is a wasteful number, since it uses less digits than its factorization.

258097536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 258097536 is about 16065.4142803726. The cubic root of 258097536 is about 636.6898886236.

The spelling of 258097536 in words is "two hundred fifty-eight million, ninety-seven thousand, five hundred thirty-six".