242943624 has 224 divisors, whose sum is σ = 853064640. Its totient is φ = 62985600.

The previous prime is 242943619. The next prime is 242943661. The reversal of 242943624 is 426349242.

242943624 is a `hidden beast` number, since 2 + 4 + 29 + 4 + 3 + 624 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 448794 + ... + 449334.

Almost surely, 2^242943624 is an apocalyptic number.

242943624 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 242943624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426532320).

242943624 is an abundant number, since it is smaller than the sum of its proper divisors (610121016).

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

242943624 is a wasteful number, since it uses less digits than its factorization.

242943624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 564 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 242943624 is about 15586.6489021855. The cubic root of 242943624 is about 623.9768852384.

The spelling of 242943624 in words is "two hundred forty-two million, nine hundred forty-three thousand, six hundred twenty-four".