242882420 has 48 divisors (see below), whose sum is σ = 560867328. Its totient is φ = 87615360.

The previous prime is 242882413. The next prime is 242882441. The reversal of 242882420 is 24288242.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23594 + ... + 32286.

It is an arithmetic number, because the mean of its divisors is an integer number (11684736).

Almost surely, 2^242882420 is an apocalyptic number.

242882420 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 242882420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280433664).

242882420 is an abundant number, since it is smaller than the sum of its proper divisors (317984908).

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

242882420 is a wasteful number, since it uses less digits than its factorization.

242882420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8840 (or 8838 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 242882420 is about 15584.6854315382. The cubic root of 242882420 is about 623.9244820127.

It can be divided in two parts, 2428 and 82420, that added together give a palindrome (84848).

The spelling of 242882420 in words is "two hundred forty-two million, eight hundred eighty-two thousand, four hundred twenty".