242553312 has 96 divisors (see below), whose sum is σ = 713180160. Its totient is φ = 80196480.

The previous prime is 242553251. The next prime is 242553313. The reversal of 242553312 is 213355242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242553313) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 112113 + ... + 114255.

It is an arithmetic number, because the mean of its divisors is an integer number (7428960).

Almost surely, 2^242553312 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 242553312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356590080).

242553312 is an abundant number, since it is smaller than the sum of its proper divisors (470626848).

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

242553312 is a wasteful number, since it uses less digits than its factorization.

242553312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2279 counting only the distinct ones).

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

The square root of 242553312 is about 15574.1231534876. The cubic root of 242553312 is about 623.6425467542.

The spelling of 242553312 in words is "two hundred forty-two million, five hundred fifty-three thousand, three hundred twelve".