242584875 has 160 divisors (see below), whose sum is σ = 517957440. Its totient is φ = 111974400.

The previous prime is 242584873. The next prime is 242584997. The reversal of 242584875 is 578485242.

It is not a de Polignac number, because 242584875 - 2¹ = 242584873 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 242584875.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242584871) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2500827 + ... + 2500923.

It is an arithmetic number, because the mean of its divisors is an integer number (3237234).

Almost surely, 2^242584875 is an apocalyptic number.

242584875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

242584875 is an abundant number, since it is smaller than the sum of its proper divisors (275372565).

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

242584875 is a wasteful number, since it uses less digits than its factorization.

242584875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its digits is 716800, while the sum is 45.

The square root of 242584875 is about 15575.1364359995. The cubic root of 242584875 is about 623.6695967195.

The spelling of 242584875 in words is "two hundred forty-two million, five hundred eighty-four thousand, eight hundred seventy-five".