242437440 has 224 divisors, whose sum is σ = 901232640. Its totient is φ = 54061056.

The previous prime is 242437427. The next prime is 242437487. The reversal of 242437440 is 44734242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 242437398 and 242437407.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 288541 + ... + 289379.

It is an arithmetic number, because the mean of its divisors is an integer number (4023360).

Almost surely, 2^242437440 is an apocalyptic number.

242437440 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 242437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450616320).

242437440 is an abundant number, since it is smaller than the sum of its proper divisors (658795200).

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

242437440 is a wasteful number, since it uses less digits than its factorization.

242437440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 30.

The square root of 242437440 is about 15570.4026922877. The cubic root of 242437440 is about 623.5432225841.

The spelling of 242437440 in words is "two hundred forty-two million, four hundred thirty-seven thousand, four hundred forty".