242380440 has 192 divisors, whose sum is σ = 835323840. Its totient is φ = 60825600.

The previous prime is 242380433. The next prime is 242380471. The reversal of 242380440 is 44083242.

It is a happy number.

242380440 is a `hidden beast` number, since 242 + 380 + 4 + 40 = 666.

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, 604240 + ... + 604640.

It is an arithmetic number, because the mean of its divisors is an integer number (4350645).

Almost surely, 2^242380440 is an apocalyptic number.

242380440 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 242380440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417661920).

242380440 is an abundant number, since it is smaller than the sum of its proper divisors (592943400).

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

242380440 is a wasteful number, since it uses less digits than its factorization.

242380440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 242380440 is about 15568.5721888682. The cubic root of 242380440 is about 623.4943512141.

The spelling of 242380440 in words is "two hundred forty-two million, three hundred eighty thousand, four hundred forty".