242746624 has 36 divisors (see below), whose sum is σ = 486472000. Its totient is φ = 120890880.

The previous prime is 242746619. The next prime is 242746639. The reversal of 242746624 is 426647242.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67627 + ... + 71125.

Almost surely, 2^242746624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242746624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243236000).

242746624 is an abundant number, since it is smaller than the sum of its proper divisors (243725376).

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

242746624 is an equidigital number, since it uses as much as digits as its factorization.

242746624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 3772 counting only the distinct ones).

The product of its digits is 129024, while the sum is 37.

The square root of 242746624 is about 15580.3281095104. The cubic root of 242746624 is about 623.8081812335.

The spelling of 242746624 in words is "two hundred forty-two million, seven hundred forty-six thousand, six hundred twenty-four".