239046144 has 80 divisors (see below), whose sum is σ = 670433280. Its totient is φ = 75479040.

The previous prime is 239046139. The next prime is 239046149. The reversal of 239046144 is 441640932.

It is an interprime number because it is at equal distance from previous prime (239046139) and next prime (239046149).

It is a super-2 number, since 2×239046144² = 114286117922537472, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239046149) 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 7 ways as a sum of consecutive naturals, for example, 25089 + ... + 33279.

It is an arithmetic number, because the mean of its divisors is an integer number (8380416).

Almost surely, 2^239046144 is an apocalyptic number.

239046144 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 239046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335216640).

239046144 is an abundant number, since it is smaller than the sum of its proper divisors (431387136).

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

239046144 is an equidigital number, since it uses as much as digits as its factorization.

239046144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8231 (or 8215 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 239046144 is about 15461.1171653280. The cubic root of 239046144 is about 620.6221157537.

The spelling of 239046144 in words is "two hundred thirty-nine million, forty-six thousand, one hundred forty-four".