258740352 has 192 divisors, whose sum is σ = 828770400. Its totient is φ = 79432704.

The previous prime is 258740351. The next prime is 258740359. The reversal of 258740352 is 253047852.

258740352 is a `hidden beast` number, since 2 + 587 + 40 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (258740351) 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, 583843 + ... + 584285.

Almost surely, 2^258740352 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 258740352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414385200).

258740352 is an abundant number, since it is smaller than the sum of its proper divisors (570030048).

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

258740352 is a wasteful number, since it uses less digits than its factorization.

258740352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 258740352 is about 16085.4080458035. The cubic root of 258740352 is about 637.2180289337.

The spelling of 258740352 in words is "two hundred fifty-eight million, seven hundred forty thousand, three hundred fifty-two".