242553600 has 162 divisors, whose sum is σ = 867389796. Its totient is φ = 64665600.

The previous prime is 242553551. The next prime is 242553613. The reversal of 242553600 is 6355242.

242553600 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 53 + 600 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55495 + ... + 59705.

It is an arithmetic number, because the mean of its divisors is an integer number (5354258).

Almost surely, 2^242553600 is an apocalyptic number.

242553600 is a gapful number since it is divisible by the number (20) 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 242553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433694898).

242553600 is an abundant number, since it is smaller than the sum of its proper divisors (624836196).

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

242553600 is a wasteful number, since it uses less digits than its factorization.

242553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4243 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 242553600 is about 15574.1323995913. The cubic root of 242553600 is about 623.6427935852.

The spelling of 242553600 in words is "two hundred forty-two million, five hundred fifty-three thousand, six hundred".