242426880 has 132 divisors (see below), whose sum is σ = 840162492. Its totient is φ = 64634880.

The previous prime is 242426869. The next prime is 242426881. The reversal of 242426880 is 88624242.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 134931456 + 107495424 = 11616^2 + 10368^2 .

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

It is not an unprimeable number, because it can be changed into a prime (242426881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43450 + ... + 48710.

Almost surely, 2^242426880 is an apocalyptic number.

242426880 is a gapful number since it is divisible by the number (20) 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 242426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420081246).

242426880 is an abundant number, since it is smaller than the sum of its proper divisors (597735612).

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

242426880 is a wasteful number, since it uses less digits than its factorization.

242426880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5292 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 242426880 is about 15570.0635836852. The cubic root of 242426880 is about 623.5341690979.

The spelling of 242426880 in words is "two hundred forty-two million, four hundred twenty-six thousand, eight hundred eighty".