242646560 has 48 divisors (see below), whose sum is σ = 617354136. Its totient is φ = 89591808.

The previous prime is 242646553. The next prime is 242646577. The reversal of 242646560 is 65646242.

It can be written as a sum of positive squares in 4 ways, for example, as 61905424 + 180741136 = 7868^2 + 13444^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 242646560.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56249 + ... + 60408.

Almost surely, 2^242646560 is an apocalyptic number.

242646560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242646560 is an abundant number, since it is smaller than the sum of its proper divisors (374707576).

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

242646560 is a wasteful number, since it uses less digits than its factorization.

242646560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116685 (or 116677 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 242646560 is about 15577.1165496057. The cubic root of 242646560 is about 623.7224549183.

The spelling of 242646560 in words is "two hundred forty-two million, six hundred forty-six thousand, five hundred sixty".