242287380 has 144 divisors (see below), whose sum is σ = 758918160. Its totient is φ = 62539776.

The previous prime is 242287379. The next prime is 242287393. The reversal of 242287380 is 83782242.

It can be written as a sum of positive squares in 8 ways, for example, as 49284 + 242238096 = 222^2 + 15564^2 .

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1039744 + ... + 1039976.

It is an arithmetic number, because the mean of its divisors is an integer number (5270265).

Almost surely, 2^242287380 is an apocalyptic number.

242287380 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 242287380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379459080).

242287380 is an abundant number, since it is smaller than the sum of its proper divisors (516630780).

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

242287380 is a wasteful number, since it uses less digits than its factorization.

242287380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 242287380 is about 15565.5831885606. The cubic root of 242287380 is about 623.4145458034.

The spelling of 242287380 in words is "two hundred forty-two million, two hundred eighty-seven thousand, three hundred eighty".