242472825 has 72 divisors (see below), whose sum is σ = 518225760. Its totient is φ = 110829600.

The previous prime is 242472817. The next prime is 242472833. The reversal of 242472825 is 528274242.

It is an interprime number because it is at equal distance from previous prime (242472817) and next prime (242472833).

It is not a de Polignac number, because 242472825 - 2³ = 242472817 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 242472825.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29410 + ... + 36740.

It is an arithmetic number, because the mean of its divisors is an integer number (7197580).

Almost surely, 2^242472825 is an apocalyptic number.

242472825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242472825 is an abundant number, since it is smaller than the sum of its proper divisors (275752935).

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

242472825 is a wasteful number, since it uses less digits than its factorization.

242472825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7364 (or 7346 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 242472825 is about 15571.5389412864. The cubic root of 242472825 is about 623.5735575626.

It can be divided in two parts, 24247 and 2825, that added together give a palindrome (27072).

The spelling of 242472825 in words is "two hundred forty-two million, four hundred seventy-two thousand, eight hundred twenty-five".