238624512 has 216 divisors, whose sum is σ = 784331856. Its totient is φ = 63995904.

The previous prime is 238624511. The next prime is 238624523. The reversal of 238624512 is 215426832.

238624512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238624511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639558 + ... + 639930.

It is an arithmetic number, because the mean of its divisors is an integer number (3631166).

Almost surely, 2^238624512 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 238624512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392165928).

238624512 is an abundant number, since it is smaller than the sum of its proper divisors (545707344).

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

238624512 is a wasteful number, since it uses less digits than its factorization.

238624512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 402 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 238624512 is about 15447.4759103227. The cubic root of 238624512 is about 620.2570144971.

The spelling of 238624512 in words is "two hundred thirty-eight million, six hundred twenty-four thousand, five hundred twelve".