239994144 has 192 divisors, whose sum is σ = 787449600. Its totient is φ = 70557696.

The previous prime is 239994133. The next prime is 239994163. The reversal of 239994144 is 441499932.

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

It is a self number, because there is not a number n which added to its sum of digits gives 239994144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257872 + ... + 258800.

It is an arithmetic number, because the mean of its divisors is an integer number (4101300).

Almost surely, 2^239994144 is an apocalyptic number.

239994144 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 239994144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393724800).

239994144 is an abundant number, since it is smaller than the sum of its proper divisors (547455456).

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

239994144 is a wasteful number, since it uses less digits than its factorization.

239994144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 970 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 239994144 is about 15491.7443820894. The cubic root of 239994144 is about 621.4414467181.

The spelling of 239994144 in words is "two hundred thirty-nine million, nine hundred ninety-four thousand, one hundred forty-four".