238652304 has 80 divisors (see below), whose sum is σ = 678051840. Its totient is φ = 71729280.

The previous prime is 238652303. The next prime is 238652317. The reversal of 238652304 is 403256832.

It is a happy number.

238652304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (238652303) 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 15 ways as a sum of consecutive naturals, for example, 65277 + ... + 68835.

It is an arithmetic number, because the mean of its divisors is an integer number (8475648).

Almost surely, 2^238652304 is an apocalyptic number.

238652304 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 238652304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339025920).

238652304 is an abundant number, since it is smaller than the sum of its proper divisors (439399536).

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

238652304 is a wasteful number, since it uses less digits than its factorization.

238652304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 238652304 is about 15448.3754485706. The cubic root of 238652304 is about 620.2810934899.

The spelling of 238652304 in words is "two hundred thirty-eight million, six hundred fifty-two thousand, three hundred four".