242497944 has 192 divisors, whose sum is σ = 742996800. Its totient is φ = 70963200.

The previous prime is 242497943. The next prime is 242497967. The reversal of 242497944 is 449794242.

242497944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×242497944³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242497944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242497943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2724652 + ... + 2724740.

It is an arithmetic number, because the mean of its divisors is an integer number (3869775).

Almost surely, 2^242497944 is an apocalyptic number.

242497944 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 242497944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371498400).

242497944 is an abundant number, since it is smaller than the sum of its proper divisors (500498856).

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

242497944 is a wasteful number, since it uses less digits than its factorization.

242497944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 219 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 242497944 is about 15572.3454880760. The cubic root of 242497944 is about 623.5950898770.

The spelling of 242497944 in words is "two hundred forty-two million, four hundred ninety-seven thousand, nine hundred forty-four".