238403329920 has 2048 divisors, whose sum is σ = 1086912000000. Its totient is φ = 49161240576.

The previous prime is 238403329877. The next prime is 238403329999. The reversal of 238403329920 is 29923304832.

238403329920 is a `hidden beast` number, since 238 + 4 + 0 + 3 + 329 + 92 + 0 = 666.

It is a super-2 number, since 2×238403329920² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3265799004 + ... + 3265799076.

It is an arithmetic number, because the mean of its divisors is an integer number (530718750).

Almost surely, 2^238403329920 is an apocalyptic number.

238403329920 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 238403329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543456000000).

238403329920 is an abundant number, since it is smaller than the sum of its proper divisors (848508670080).

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

238403329920 is a wasteful number, since it uses less digits than its factorization.

238403329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 238403329920 in words is "two hundred thirty-eight billion, four hundred three million, three hundred twenty-nine thousand, nine hundred twenty".