242958480 has 80 divisors (see below), whose sum is σ = 760290624. Its totient is φ = 64176640.

The previous prime is 242958479. The next prime is 242958511. The reversal of 242958480 is 84859242.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20950 + ... + 30410.

Almost surely, 2^242958480 is an apocalyptic number.

242958480 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 242958480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380145312).

242958480 is an abundant number, since it is smaller than the sum of its proper divisors (517332144).

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

242958480 is a wasteful number, since it uses less digits than its factorization.

242958480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9584 (or 9578 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 242958480 is about 15587.1254566068. The cubic root of 242958480 is about 623.9896037058.

The spelling of 242958480 in words is "two hundred forty-two million, nine hundred fifty-eight thousand, four hundred eighty".