242454240 has 288 divisors, whose sum is σ = 962357760. Its totient is φ = 54438912.

The previous prime is 242454227. The next prime is 242454271. The reversal of 242454240 is 42454242.

It is a tau number, because it is divible by the number of its divisors (288).

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, 675181 + ... + 675539.

It is an arithmetic number, because the mean of its divisors is an integer number (3341520).

Almost surely, 2^242454240 is an apocalyptic number.

242454240 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 242454240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481178880).

242454240 is an abundant number, since it is smaller than the sum of its proper divisors (719903520).

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

242454240 is a wasteful number, since it uses less digits than its factorization.

242454240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 242454240 is about 15570.9421680257. The cubic root of 242454240 is about 623.5576253158.

The spelling of 242454240 in words is "two hundred forty-two million, four hundred fifty-four thousand, two hundred forty".