242044416 has 80 divisors (see below), whose sum is σ = 716509200. Its totient is φ = 80676864.

The previous prime is 242044409. The next prime is 242044457. The reversal of 242044416 is 614440242.

It is a happy number.

242044416 is a `hidden beast` number, since 242 + 0 + 4 + 4 + 416 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 242044416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5070 + ... + 22578.

It is an arithmetic number, because the mean of its divisors is an integer number (8956365).

Almost surely, 2^242044416 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 242044416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358254600).

242044416 is an abundant number, since it is smaller than the sum of its proper divisors (474464784).

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

242044416 is an equidigital number, since it uses as much as digits as its factorization.

242044416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17536 (or 17514 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 242044416 is about 15557.7767049151. The cubic root of 242044416 is about 623.2060909374.

Adding to 242044416 its reverse (614440242), we get a palindrome (856484658).

The spelling of 242044416 in words is "two hundred forty-two million, forty-four thousand, four hundred sixteen".