242878944 has 288 divisors, whose sum is σ = 836559360. Its totient is φ = 60318720.

The previous prime is 242878931. The next prime is 242878981. The reversal of 242878944 is 449878242.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 242878893 and 242878902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2357997 + ... + 2358099.

It is an arithmetic number, because the mean of its divisors is an integer number (2904720).

Almost surely, 2^242878944 is an apocalyptic number.

242878944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242878944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418279680).

242878944 is an abundant number, since it is smaller than the sum of its proper divisors (593680416).

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

242878944 is a wasteful number, since it uses less digits than its factorization.

242878944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 242878944 is about 15584.5739114035. The cubic root of 242878944 is about 623.9215055768.

The spelling of 242878944 in words is "two hundred forty-two million, eight hundred seventy-eight thousand, nine hundred forty-four".