242876416 has 72 divisors (see below), whose sum is σ = 519043140. Its totient is φ = 113246208.

The previous prime is 242876377. The next prime is 242876423. The reversal of 242876416 is 614678242.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 228130816 + 14745600 = 15104^2 + 3840^2 .

Its product of digits (129024) is a multiple of the sum of its prime divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2228170 + ... + 2228278.

Almost surely, 2^242876416 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 242876416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259521570).

242876416 is an abundant number, since it is smaller than the sum of its proper divisors (276166724).

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

242876416 is an frugal number, since it uses more digits than its factorization.

242876416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 128 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The square root of 242876416 is about 15584.4928053498. The cubic root of 242876416 is about 623.9193408783.

It can be divided in two parts, 24287 and 6416, that added together give a palindrome (30703).

The spelling of 242876416 in words is "two hundred forty-two million, eight hundred seventy-six thousand, four hundred sixteen".