238875840 has 504 divisors, whose sum is σ = 1021823712. Its totient is φ = 50135040.

The previous prime is 238875839. The next prime is 238875851. The reversal of 238875840 is 48578832.

238875840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5826220 + ... + 5826260.

It is an arithmetic number, because the mean of its divisors is an integer number (2027428).

Almost surely, 2^238875840 is an apocalyptic number.

238875840 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 238875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510911856).

238875840 is an abundant number, since it is smaller than the sum of its proper divisors (782947872).

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

238875840 is a wasteful number, since it uses less digits than its factorization.

238875840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 238875840 is about 15455.6086906987. The cubic root of 238875840 is about 620.4746971605.

The spelling of 238875840 in words is "two hundred thirty-eight million, eight hundred seventy-five thousand, eight hundred forty".