242661480 has 64 divisors (see below), whose sum is σ = 731116800. Its totient is φ = 64431360.

The previous prime is 242661479. The next prime is 242661499. The reversal of 242661480 is 84166242.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24450 + ... + 32910.

It is an arithmetic number, because the mean of its divisors is an integer number (11423700).

Almost surely, 2^242661480 is an apocalyptic number.

242661480 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 242661480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365558400).

242661480 is an abundant number, since it is smaller than the sum of its proper divisors (488455320).

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

242661480 is a wasteful number, since it uses less digits than its factorization.

242661480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8714 (or 8710 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 242661480 is about 15577.5954498761. The cubic root of 242661480 is about 623.7352385988.

The spelling of 242661480 in words is "two hundred forty-two million, six hundred sixty-one thousand, four hundred eighty".