238623840 has 384 divisors, whose sum is σ = 1029611520. Its totient is φ = 50264064.

The previous prime is 238623823. The next prime is 238623851. The reversal of 238623840 is 48326832.

238623840 is a `hidden beast` number, since 2 + 386 + 238 + 40 = 666.

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 = 238623795 and 238623804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392817 + ... + 393423.

It is an arithmetic number, because the mean of its divisors is an integer number (2681280).

Almost surely, 2^238623840 is an apocalyptic number.

238623840 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 238623840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514805760).

238623840 is an abundant number, since it is smaller than the sum of its proper divisors (790987680).

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

238623840 is a wasteful number, since it uses less digits than its factorization.

238623840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 238623840 is about 15447.4541591811. The cubic root of 238623840 is about 620.2564322530.

The spelling of 238623840 in words is "two hundred thirty-eight million, six hundred twenty-three thousand, eight hundred forty".