242986464 has 144 divisors (see below), whose sum is σ = 808359552. Its totient is φ = 67785984.

The previous prime is 242986451. The next prime is 242986481. The reversal of 242986464 is 464689242.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85287 + ... + 88089.

It is an arithmetic number, because the mean of its divisors is an integer number (5613608).

Almost surely, 2^242986464 is an apocalyptic number.

242986464 is a gapful number since it is divisible by the number (24) 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 242986464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404179776).

242986464 is an abundant number, since it is smaller than the sum of its proper divisors (565373088).

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

242986464 is a wasteful number, since it uses less digits than its factorization.

242986464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2858 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 242986464 is about 15588.0230946711. The cubic root of 242986464 is about 624.0135598631.

The spelling of 242986464 in words is "two hundred forty-two million, nine hundred eighty-six thousand, four hundred sixty-four".