242256000 has 384 divisors, whose sum is σ = 943263360. Its totient is φ = 54835200.

The previous prime is 242255999. The next prime is 242256019. The reversal of 242256000 is 652242.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2351949 + ... + 2352051.

It is an arithmetic number, because the mean of its divisors is an integer number (2456415).

Almost surely, 2^242256000 is an apocalyptic number.

242256000 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 242256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471631680).

242256000 is an abundant number, since it is smaller than the sum of its proper divisors (701007360).

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

242256000 is a wasteful number, since it uses less digits than its factorization.

242256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 242256000 is about 15564.5751628498. The cubic root of 242256000 is about 623.3876306678.

The spelling of 242256000 in words is "two hundred forty-two million, two hundred fifty-six thousand".