238368960 has 224 divisors, whose sum is σ = 860267520. Its totient is φ = 62106624.

The previous prime is 238368959. The next prime is 238368961. The reversal of 238368960 is 69863832.

It is an interprime number because it is at equal distance from previous prime (238368959) and next prime (238368961).

It is a super-2 number, since 2×238368960² = 113639522182963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (238368961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405787 + ... + 406373.

It is an arithmetic number, because the mean of its divisors is an integer number (3840480).

Almost surely, 2^238368960 is an apocalyptic number.

238368960 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 238368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430133760).

238368960 is an abundant number, since it is smaller than the sum of its proper divisors (621898560).

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

238368960 is a wasteful number, since it uses less digits than its factorization.

238368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 238368960 is about 15439.2020519197. The cubic root of 238368960 is about 620.0355165225.

The spelling of 238368960 in words is "two hundred thirty-eight million, three hundred sixty-eight thousand, nine hundred sixty".