242242440 has 256 divisors, whose sum is σ = 846028800. Its totient is φ = 54912000.

The previous prime is 242242439. The next prime is 242242471. The reversal of 242242440 is 44242242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 242242440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2398390 + ... + 2398490.

It is an arithmetic number, because the mean of its divisors is an integer number (3304800).

Almost surely, 2^242242440 is an apocalyptic number.

242242440 is a gapful number since it is divisible by the number (20) 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 242242440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423014400).

242242440 is an abundant number, since it is smaller than the sum of its proper divisors (603786360).

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

242242440 is a wasteful number, since it uses less digits than its factorization.

242242440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 242242440 is about 15564.1395521886. The cubic root of 242242440 is about 623.3759993164.

Adding to 242242440 its reverse (44242242), we get a palindrome (286484682).

The spelling of 242242440 in words is "two hundred forty-two million, two hundred forty-two thousand, four hundred forty".