238645575 has 96 divisors (see below), whose sum is σ = 530680320. Its totient is φ = 102643200.

The previous prime is 238645559. The next prime is 238645601. The reversal of 238645575 is 575546832.

238645575 is a `hidden beast` number, since 2 + 38 + 6 + 45 + 575 = 666.

It is not a de Polignac number, because 238645575 - 2⁴ = 238645559 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 238645575.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78840 + ... + 81810.

It is an arithmetic number, because the mean of its divisors is an integer number (5527920).

Almost surely, 2^238645575 is an apocalyptic number.

238645575 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

238645575 is an abundant number, since it is smaller than the sum of its proper divisors (292034745).

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

238645575 is a wasteful number, since it uses less digits than its factorization.

238645575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014 (or 3003 counting only the distinct ones).

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

The square root of 238645575 is about 15448.1576571448. The cubic root of 238645575 is about 620.2752636549.

It can be divided in two parts, 2386 and 45575, that added together give a square (47961 = 219²).

The spelling of 238645575 in words is "two hundred thirty-eight million, six hundred forty-five thousand, five hundred seventy-five".