238466257920 has 792 divisors, whose sum is σ = 956450433120. Its totient is φ = 54743040000.

The previous prime is 238466257903. The next prime is 238466257949. The reversal of 238466257920 is 29752664832.

238466257920 is a `hidden beast` number, since 2 + 3 + 8 + 4 + 6 + 62 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a congruent number.

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, 105936795 + ... + 105939045.

Almost surely, 2^238466257920 is an apocalyptic number.

238466257920 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 238466257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478225216560).

238466257920 is an abundant number, since it is smaller than the sum of its proper divisors (717984175200).

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

238466257920 is a wasteful number, since it uses less digits than its factorization.

238466257920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 238466257920 in words is "two hundred thirty-eight billion, four hundred sixty-six million, two hundred fifty-seven thousand, nine hundred twenty".