238152960 has 180 divisors, whose sum is σ = 852525828. Its totient is φ = 63479808.

The previous prime is 238152947. The next prime is 238152977. The reversal of 238152960 is 69251832.

It can be written as a sum of positive squares in 2 ways, for example, as 98724096 + 139428864 = 9936^2 + 11808^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102532 + ... + 104828.

Almost surely, 2^238152960 is an apocalyptic number.

238152960 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 238152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426262914).

238152960 is an abundant number, since it is smaller than the sum of its proper divisors (614372868).

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

238152960 is an equidigital number, since it uses as much as digits as its factorization.

238152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 238152960 is about 15432.2052863484. The cubic root of 238152960 is about 619.8481764913.

The spelling of 238152960 in words is "two hundred thirty-eight million, one hundred fifty-two thousand, nine hundred sixty".