242440506 has 128 divisors (see below), whose sum is σ = 677376000. Its totient is φ = 62441280.

The previous prime is 242440489. The next prime is 242440507. The reversal of 242440506 is 605044242.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 242440506.

It is not an unprimeable number, because it can be changed into a prime (242440507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 827296 + ... + 827588.

It is an arithmetic number, because the mean of its divisors is an integer number (5292000).

Almost surely, 2^242440506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242440506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338688000).

242440506 is an abundant number, since it is smaller than the sum of its proper divisors (434935494).

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

242440506 is a wasteful number, since it uses less digits than its factorization.

242440506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 242440506 is about 15570.5011480042. The cubic root of 242440506 is about 623.5458511323.

Adding to 242440506 its reverse (605044242), we get a palindrome (847484748).

The spelling of 242440506 in words is "two hundred forty-two million, four hundred forty thousand, five hundred six".