238531824 has 80 divisors (see below), whose sum is σ = 686583040. Its totient is φ = 79289280.

The previous prime is 238531823. The next prime is 238531877. The reversal of 238531824 is 428135832.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238531823) 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, 246189 + ... + 247155.

It is an arithmetic number, because the mean of its divisors is an integer number (8582288).

Almost surely, 2^238531824 is an apocalyptic number.

238531824 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 238531824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343291520).

238531824 is an abundant number, since it is smaller than the sum of its proper divisors (448051216).

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

238531824 is a wasteful number, since it uses less digits than its factorization.

238531824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1543 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 238531824 is about 15444.4755171550. The cubic root of 238531824 is about 620.1766960826.

The spelling of 238531824 in words is "two hundred thirty-eight million, five hundred thirty-one thousand, eight hundred twenty-four".