238321920 has 144 divisors (see below), whose sum is σ = 776164032. Its totient is φ = 62300160.

The previous prime is 238321873. The next prime is 238321927. The reversal of 238321920 is 29123832.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (238321927) 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, 202935 + ... + 204105.

It is an arithmetic number, because the mean of its divisors is an integer number (5390028).

Almost surely, 2^238321920 is an apocalyptic number.

238321920 is a gapful number since it is divisible by the number (20) 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 238321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388082016).

238321920 is an abundant number, since it is smaller than the sum of its proper divisors (537842112).

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

238321920 is a wasteful number, since it uses less digits than its factorization.

238321920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 238321920 is about 15437.6785819630. The cubic root of 238321920 is about 619.9947276694.

It can be divided in two parts, 23832 and 1920, that added together give a palindrome (25752).

The spelling of 238321920 in words is "two hundred thirty-eight million, three hundred twenty-one thousand, nine hundred twenty".