238218240 has 176 divisors, whose sum is σ = 821223648. Its totient is φ = 58589184.

The previous prime is 238218179. The next prime is 238218251. The reversal of 238218240 is 42812832.

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

It is a junction number, because it is equal to n+sod(n) for n = 238218198 and 238218207.

It is an unprimeable number.

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, 199084 + ... + 200276.

Almost surely, 2^238218240 is an apocalyptic number.

238218240 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 238218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410611824).

238218240 is an abundant number, since it is smaller than the sum of its proper divisors (583005408).

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

238218240 is a wasteful number, since it uses less digits than its factorization.

238218240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 238218240 is about 15434.3201988296. The cubic root of 238218240 is about 619.9048067516.

The spelling of 238218240 in words is "two hundred thirty-eight million, two hundred eighteen thousand, two hundred forty".