238945140 has 240 divisors, whose sum is σ = 902563200. Its totient is φ = 51694848.

The previous prime is 238945111. The next prime is 238945141. The reversal of 238945140 is 41549832.

238945140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 238945095 and 238945104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238945141) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 214906 + ... + 216014.

It is an arithmetic number, because the mean of its divisors is an integer number (3760680).

Almost surely, 2^238945140 is an apocalyptic number.

238945140 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 238945140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451281600).

238945140 is an abundant number, since it is smaller than the sum of its proper divisors (663618060).

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

238945140 is a wasteful number, since it uses less digits than its factorization.

238945140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 238945140 is about 15457.8504327089. The cubic root of 238945140 is about 620.5346930968.

The spelling of 238945140 in words is "two hundred thirty-eight million, nine hundred forty-five thousand, one hundred forty".