238564240 has 40 divisors (see below), whose sum is σ = 568198008. Its totient is φ = 93096960.

The previous prime is 238564217. The next prime is 238564241. The reversal of 238564240 is 42465832.

238564240 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 4 ways, for example, as 19642624 + 218921616 = 4432^2 + 14796^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 238564196 and 238564205.

It is not an unprimeable number, because it can be changed into a prime (238564241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33087 + ... + 39646.

Almost surely, 2^238564240 is an apocalyptic number.

238564240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238564240 is an abundant number, since it is smaller than the sum of its proper divisors (329633768).

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

238564240 is a wasteful number, since it uses less digits than its factorization.

238564240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72787 (or 72781 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 238564240 is about 15445.5249182409. The cubic root of 238564240 is about 620.2047884029.

The spelling of 238564240 in words is "two hundred thirty-eight million, five hundred sixty-four thousand, two hundred forty".