242331264 has 336 divisors, whose sum is σ = 857884770. Its totient is φ = 67931136.

The previous prime is 242331259. The next prime is 242331269. The reversal of 242331264 is 462133242.

It is an interprime number because it is at equal distance from previous prime (242331259) and next prime (242331269).

It can be written as a sum of positive squares in only one way, i.e., 185177664 + 57153600 = 13608^2 + 7560^2 .

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (242331269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4572262 + ... + 4572314.

Almost surely, 2^242331264 is an apocalyptic number.

242331264 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 242331264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428942385).

242331264 is an abundant number, since it is smaller than the sum of its proper divisors (615553506).

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

242331264 is an frugal number, since it uses more digits than its factorization.

242331264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 65 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 242331264 is about 15566.9927731723. The cubic root of 242331264 is about 623.4521819257.

The spelling of 242331264 in words is "two hundred forty-two million, three hundred thirty-one thousand, two hundred sixty-four".