238824640 has 112 divisors (see below), whose sum is σ = 610160832. Its totient is φ = 88805376.

The previous prime is 238824637. The next prime is 238824667. The reversal of 238824640 is 46428832.

It is a super-2 number, since 2×238824640² = 114074417342259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 238824640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271882 + ... + 272758.

Almost surely, 2^238824640 is an apocalyptic number.

238824640 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 238824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305080416).

238824640 is an abundant number, since it is smaller than the sum of its proper divisors (371336192).

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

238824640 is a wasteful number, since it uses less digits than its factorization.

238824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 238824640 is about 15453.9522452996. The cubic root of 238824640 is about 620.4303637047.

It can be divided in two parts, 2388 and 24640, that added together give a triangular number (27028 = T₂₃₂).

The spelling of 238824640 in words is "two hundred thirty-eight million, eight hundred twenty-four thousand, six hundred forty".