258465375 has 96 divisors (see below), whose sum is σ = 556028928. Its totient is φ = 112939200.

The previous prime is 258465367. The next prime is 258465377. The reversal of 258465375 is 573564852.

258465375 is a `hidden beast` number, since 2 + 584 + 65 + 3 + 7 + 5 = 666.

It is not a de Polignac number, because 258465375 - 2³ = 258465367 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 258465375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258465377) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180412 + ... + 181838.

It is an arithmetic number, because the mean of its divisors is an integer number (5791968).

Almost surely, 2^258465375 is an apocalyptic number.

258465375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

258465375 is an abundant number, since it is smaller than the sum of its proper divisors (297563553).

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

258465375 is a wasteful number, since it uses less digits than its factorization.

258465375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1465 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 258465375 is about 16076.8583684749. The cubic root of 258465375 is about 636.9922138656.

It can be divided in two parts, 258465 and 375, that added together give a triangular number (258840 = T₇₁₉).

The spelling of 258465375 in words is "two hundred fifty-eight million, four hundred sixty-five thousand, three hundred seventy-five".