242947584 has 120 divisors (see below), whose sum is σ = 765064872. Its totient is φ = 73605120.

The previous prime is 242947553. The next prime is 242947603. The reversal of 242947584 is 485749242.

242947584 is a `hidden beast` number, since 2 + 4 + 29 + 47 + 584 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48292 + ... + 53084.

Almost surely, 2^242947584 is an apocalyptic number.

242947584 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 242947584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382532436).

242947584 is an abundant number, since it is smaller than the sum of its proper divisors (522117288).

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

242947584 is a wasteful number, since it uses less digits than its factorization.

242947584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4828 (or 4809 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 242947584 is about 15586.7759334636. The cubic root of 242947584 is about 623.9802755106.

It can be divided in two parts, 24294 and 7584, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 242947584 in words is "two hundred forty-two million, nine hundred forty-seven thousand, five hundred eighty-four".