258545952 has 288 divisors, whose sum is σ = 910103040. Its totient is φ = 71124480.

The previous prime is 258545897. The next prime is 258545957. The reversal of 258545952 is 259545852.

258545952 is a `hidden beast` number, since 2 + 5 + 8 + 54 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (720000) is a multiple of the sum of its prime divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 258545898 and 258545907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258545957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1312318 + ... + 1312514.

It is an arithmetic number, because the mean of its divisors is an integer number (3160080).

Almost surely, 2^258545952 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 258545952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455051520).

258545952 is an abundant number, since it is smaller than the sum of its proper divisors (651557088).

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

258545952 is a wasteful number, since it uses less digits than its factorization.

258545952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 240 counting only the distinct ones).

The product of its digits is 720000, while the sum is 45.

The square root of 258545952 is about 16079.3641665335. The cubic root of 258545952 is about 637.0584014401.

The spelling of 258545952 in words is "two hundred fifty-eight million, five hundred forty-five thousand, nine hundred fifty-two".