258293952 has 252 divisors, whose sum is σ = 894313680. Its totient is φ = 69737472.

The previous prime is 258293939. The next prime is 258293969. The reversal of 258293952 is 259392852.

258293952 is a `hidden beast` number, since 258 + 2 + 9 + 395 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 258293898 and 258293907.

It is an unprimeable number.

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, 5495593 + ... + 5495639.

Almost surely, 2^258293952 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 258293952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447156840).

258293952 is an abundant number, since it is smaller than the sum of its proper divisors (636019728).

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

258293952 is a wasteful number, since it uses less digits than its factorization.

258293952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 88 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 258293952 is about 16071.5261254182. The cubic root of 258293952 is about 636.8513577764.

The spelling of 258293952 in words is "two hundred fifty-eight million, two hundred ninety-three thousand, nine hundred fifty-two".