238585140 has 72 divisors (see below), whose sum is σ = 766289160. Its totient is φ = 59879424.

The previous prime is 238585133. The next prime is 238585153. The reversal of 238585140 is 41585832.

It is a happy number.

238585140 is a `hidden beast` number, since 2 + 38 + 585 + 1 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63393444 + 175191696 = 7962^2 + 13236^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 238585095 and 238585104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35925 + ... + 42044.

It is an arithmetic number, because the mean of its divisors is an integer number (10642905).

Almost surely, 2^238585140 is an apocalyptic number.

238585140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238585140 is an abundant number, since it is smaller than the sum of its proper divisors (527704020).

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

238585140 is a wasteful number, since it uses less digits than its factorization.

238585140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78001 (or 77996 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 238585140 is about 15446.2014747963. The cubic root of 238585140 is about 620.2228993899. Note that the first 3 decimals are identical.

The spelling of 238585140 in words is "two hundred thirty-eight million, five hundred eighty-five thousand, one hundred forty".