239268816 has 150 divisors (see below), whose sum is σ = 726006050. Its totient is φ = 76070016.

The previous prime is 239268811. The next prime is 239268817. The reversal of 239268816 is 618862932.

239268816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 222129216 + 17139600 = 14904^2 + 4140^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239268811) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 685410 + ... + 685758.

Almost surely, 2^239268816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239268816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363003025).

239268816 is an abundant number, since it is smaller than the sum of its proper divisors (486737234).

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

239268816 is a wasteful number, since it uses less digits than its factorization.

239268816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 377 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 239268816 is about 15468.3165211991. The cubic root of 239268816 is about 620.8147595642.

The spelling of 239268816 in words is "two hundred thirty-nine million, two hundred sixty-eight thousand, eight hundred sixteen".