242646624 has 192 divisors, whose sum is σ = 782127360. Its totient is φ = 73180800.

The previous prime is 242646617. The next prime is 242646643. The reversal of 242646624 is 426646242.

242646624 is a `hidden beast` number, since 2 + 4 + 2 + 646 + 6 + 2 + 4 = 666.

242646624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1149879 + ... + 1150089.

It is an arithmetic number, because the mean of its divisors is an integer number (4073580).

Almost surely, 2^242646624 is an apocalyptic number.

242646624 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 242646624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391063680).

242646624 is an abundant number, since it is smaller than the sum of its proper divisors (539480736).

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

242646624 is a wasteful number, since it uses less digits than its factorization.

242646624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 227 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 242646624 is about 15577.1186039010. The cubic root of 242646624 is about 623.7225097556.

The spelling of 242646624 in words is "two hundred forty-two million, six hundred forty-six thousand, six hundred twenty-four".