238200960 has 128 divisors (see below), whose sum is σ = 767692800. Its totient is φ = 62816256.

The previous prime is 238200959. The next prime is 238200973. The reversal of 238200960 is 69002832.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185601 + ... + 186879.

It is an arithmetic number, because the mean of its divisors is an integer number (5997600).

Almost surely, 2^238200960 is an apocalyptic number.

238200960 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 238200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383846400).

238200960 is an abundant number, since it is smaller than the sum of its proper divisors (529491840).

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

238200960 is a wasteful number, since it uses less digits than its factorization.

238200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 238200960 is about 15433.7603972590. The cubic root of 238200960 is about 619.8898173956.

The spelling of 238200960 in words is "two hundred thirty-eight million, two hundred thousand, nine hundred sixty".