238337920 has 128 divisors (see below), whose sum is σ = 604558080. Its totient is φ = 89702400.

The previous prime is 238337857. The next prime is 238337971. The reversal of 238337920 is 29733832.

238337920 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 (128).

It is a self number, because there is not a number n which added to its sum of digits gives 238337920.

It is a congruent number.

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, 813294 + ... + 813586.

It is an arithmetic number, because the mean of its divisors is an integer number (4723110).

Almost surely, 2^238337920 is an apocalyptic number.

238337920 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 238337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302279040).

238337920 is an abundant number, since it is smaller than the sum of its proper divisors (366220160).

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

238337920 is a wasteful number, since it uses less digits than its factorization.

238337920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 238337920 is about 15438.1967858944. The cubic root of 238337920 is about 620.0086020312.

The spelling of 238337920 in words is "two hundred thirty-eight million, three hundred thirty-seven thousand, nine hundred twenty".