242808444 has 72 divisors (see below), whose sum is σ = 634666032. Its totient is φ = 78220800.

The previous prime is 242808443. The next prime is 242808473. The reversal of 242808444 is 444808242.

It is a super-2 number, since 2×242808444² = 117911880955402272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 242808399 and 242808408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242808443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155572 + ... + 157124.

It is an arithmetic number, because the mean of its divisors is an integer number (8814806).

Almost surely, 2^242808444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242808444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317333016).

242808444 is an abundant number, since it is smaller than the sum of its proper divisors (391857588).

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

242808444 is a wasteful number, since it uses less digits than its factorization.

242808444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 242808444 is about 15582.3118952227. The cubic root of 242808444 is about 623.8611315731.

The spelling of 242808444 in words is "two hundred forty-two million, eight hundred eight thousand, four hundred forty-four".