242352000 has 640 divisors, whose sum is σ = 1039690080. Its totient is φ = 55296000.

The previous prime is 242351971. The next prime is 242352029. The reversal of 242352000 is 253242.

It is an interprime number because it is at equal distance from previous prime (242351971) and next prime (242352029).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14255992 + ... + 14256008.

Almost surely, 2^242352000 is an apocalyptic number.

242352000 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 242352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519845040).

242352000 is an abundant number, since it is smaller than the sum of its proper divisors (797338080).

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

242352000 is a wasteful number, since it uses less digits than its factorization.

242352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 242352000 is about 15567.6587835166. The cubic root of 242352000 is about 623.4699641074.

It can be divided in two parts, 242 and 352000, that multiplied together give a cube (85184000 = 440³).

The spelling of 242352000 in words is "two hundred forty-two million, three hundred fifty-two thousand".