238563360 has 480 divisors, whose sum is σ = 1016426880. Its totient is φ = 52157952.

The previous prime is 238563359. The next prime is 238563361. The reversal of 238563360 is 63365832.

It is a happy number.

238563360 is a `hidden beast` number, since 2 + 38 + 563 + 3 + 60 = 666.

238563360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (238563359) and next prime (238563361).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (238563361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10372309 + ... + 10372331.

It is an arithmetic number, because the mean of its divisors is an integer number (2117556).

Almost surely, 2^238563360 is an apocalyptic number.

238563360 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 238563360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508213440).

238563360 is an abundant number, since it is smaller than the sum of its proper divisors (777863520).

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

238563360 is an equidigital number, since it uses as much as digits as its factorization.

238563360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 238563360 is about 15445.4964309989. The cubic root of 238563360 is about 620.2040258118.

The spelling of 238563360 in words is "two hundred thirty-eight million, five hundred sixty-three thousand, three hundred sixty".