238801920 has 176 divisors, whose sum is σ = 873299328. Its totient is φ = 54558720.

The previous prime is 238801891. The next prime is 238801961. The reversal of 238801920 is 29108832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106410 + ... + 108630.

It is an arithmetic number, because the mean of its divisors is an integer number (4961928).

Almost surely, 2^238801920 is an apocalyptic number.

238801920 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 238801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436649664).

238801920 is an abundant number, since it is smaller than the sum of its proper divisors (634497408).

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

238801920 is a wasteful number, since it uses less digits than its factorization.

238801920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 238801920 is about 15453.2171407769. The cubic root of 238801920 is about 620.4106887040.

Adding to 238801920 its product of nonzero digits (6912), we get a palindrome (238808832).

The spelling of 238801920 in words is "two hundred thirty-eight million, eight hundred one thousand, nine hundred twenty".