238247520 has 384 divisors, whose sum is σ = 938843136. Its totient is φ = 49545216.

The previous prime is 238247519. The next prime is 238247533. The reversal of 238247520 is 25742832.

238247520 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×238247520⁴ (a number of 35 digits) contains 4444 as substring.

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, 2456112 + ... + 2456208.

It is an arithmetic number, because the mean of its divisors is an integer number (2444904).

Almost surely, 2^238247520 is an apocalyptic number.

238247520 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 238247520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469421568).

238247520 is an abundant number, since it is smaller than the sum of its proper divisors (700595616).

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

238247520 is a wasteful number, since it uses less digits than its factorization.

238247520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 238247520 is about 15435.2687051441. The cubic root of 238247520 is about 619.9302037282.

The spelling of 238247520 in words is "two hundred thirty-eight million, two hundred forty-seven thousand, five hundred twenty".