238827264 has 144 divisors (see below), whose sum is σ = 721123200. Its totient is φ = 69562368.

The previous prime is 238827247. The next prime is 238827269. The reversal of 238827264 is 462728832.

238827264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×238827264⁵ (a number of 43 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238827269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189067 + ... + 190325.

It is an arithmetic number, because the mean of its divisors is an integer number (5007800).

Almost surely, 2^238827264 is an apocalyptic number.

238827264 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 238827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360561600).

238827264 is an abundant number, since it is smaller than the sum of its proper divisors (482295936).

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

238827264 is a wasteful number, since it uses less digits than its factorization.

238827264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1296 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 238827264 is about 15454.0371424427. The cubic root of 238827264 is about 620.4326359483.

The spelling of 238827264 in words is "two hundred thirty-eight million, eight hundred twenty-seven thousand, two hundred sixty-four".