242362624 has 81 divisors (see below), whose sum is σ = 566840547. Its totient is φ = 103122432.

The previous prime is 242362621. The next prime is 242362643. The reversal of 242362624 is 426263242.

It is a happy number.

The square root of 242362624 is 15568.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (242362621) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1743547 + ... + 1743685.

Almost surely, 2^242362624 is an apocalyptic number.

242362624 is the 15568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242362624

242362624 is an abundant number, since it is smaller than the sum of its proper divisors (324477923).

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

242362624 is an frugal number, since it uses more digits than its factorization.

242362624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 148 counting only the distinct ones).

The product of its digits is 27648, while the sum is 31.

The cubic root of 242362624 is about 623.4790743384.

The spelling of 242362624 in words is "two hundred forty-two million, three hundred sixty-two thousand, six hundred twenty-four".