238331520 has 384 divisors, whose sum is σ = 985271040. Its totient is φ = 51904512.

The previous prime is 238331507. The next prime is 238331537. The reversal of 238331520 is 25133832.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 927232 + ... + 927488.

It is an arithmetic number, because the mean of its divisors is an integer number (2565810).

Almost surely, 2^238331520 is an apocalyptic number.

238331520 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 238331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492635520).

238331520 is an abundant number, since it is smaller than the sum of its proper divisors (746939520).

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

238331520 is a wasteful number, since it uses less digits than its factorization.

238331520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 238331520 is about 15437.9895064092. The cubic root of 238331520 is about 620.0030523610.

The spelling of 238331520 in words is "two hundred thirty-eight million, three hundred thirty-one thousand, five hundred twenty".