242405280 has 288 divisors, whose sum is σ = 931222656. Its totient is φ = 56973312.

The previous prime is 242405221. The next prime is 242405291. The reversal of 242405280 is 82504242.

It is a happy number.

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

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, 430279 + ... + 430841.

It is an arithmetic number, because the mean of its divisors is an integer number (3233412).

Almost surely, 2^242405280 is an apocalyptic number.

242405280 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 242405280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465611328).

242405280 is an abundant number, since it is smaller than the sum of its proper divisors (688817376).

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

242405280 is a wasteful number, since it uses less digits than its factorization.

242405280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 242405280 is about 15569.3699294480. The cubic root of 242405280 is about 623.5156497846.

The spelling of 242405280 in words is "two hundred forty-two million, four hundred five thousand, two hundred eighty".