238538520 has 384 divisors, whose sum is σ = 924618240. Its totient is φ = 54743040.

The previous prime is 238538477. The next prime is 238538527. The reversal of 238538520 is 25835832.

238538520 is a `hidden beast` number, since 23 + 85 + 38 + 520 = 666.

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 (238538527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2459112 + ... + 2459208.

It is an arithmetic number, because the mean of its divisors is an integer number (2407860).

Almost surely, 2^238538520 is an apocalyptic number.

238538520 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 238538520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462309120).

238538520 is an abundant number, since it is smaller than the sum of its proper divisors (686079720).

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

238538520 is a wasteful number, since it uses less digits than its factorization.

238538520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 238538520 is about 15444.6922921760. The cubic root of 238538520 is about 620.1824991717.

The spelling of 238538520 in words is "two hundred thirty-eight million, five hundred thirty-eight thousand, five hundred twenty".