238633408 has 42 divisors (see below), whose sum is σ = 512789424. Its totient is φ = 110133504.

The previous prime is 238633361. The next prime is 238633411. The reversal of 238633408 is 804336832.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 216 + ... + 21847.

It is an arithmetic number, because the mean of its divisors is an integer number (12209272).

Almost surely, 2^238633408 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 238633408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256394712).

238633408 is an abundant number, since it is smaller than the sum of its proper divisors (274156016).

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

238633408 is a wasteful number, since it uses less digits than its factorization.

238633408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22101 (or 22078 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 238633408 is about 15447.7638511210. The cubic root of 238633408 is about 620.2647221962.

The spelling of 238633408 in words is "two hundred thirty-eight million, six hundred thirty-three thousand, four hundred eight".