238825520 has 80 divisors (see below), whose sum is σ = 596935008. Its totient is φ = 88535040.

The previous prime is 238825513. The next prime is 238825529. The reversal of 238825520 is 25528832.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (238825529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89810 + ... + 92430.

Almost surely, 2^238825520 is an apocalyptic number.

238825520 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 238825520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298467504).

238825520 is an abundant number, since it is smaller than the sum of its proper divisors (358109488).

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

238825520 is a wasteful number, since it uses less digits than its factorization.

238825520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 238825520 is about 15453.9807169545. The cubic root of 238825520 is about 620.4311257395.

The spelling of 238825520 in words is "two hundred thirty-eight million, eight hundred twenty-five thousand, five hundred twenty".