238876560 has 320 divisors, whose sum is σ = 909941760. Its totient is φ = 57231360.

The previous prime is 238876559. The next prime is 238876579. The reversal of 238876560 is 65678832.

238876560 is a `hidden beast` number, since 2 + 3 + 8 + 87 + 6 + 560 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1319670 + ... + 1319850.

It is an arithmetic number, because the mean of its divisors is an integer number (2843568).

Almost surely, 2^238876560 is an apocalyptic number.

238876560 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 238876560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454970880).

238876560 is an abundant number, since it is smaller than the sum of its proper divisors (671065200).

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

238876560 is a wasteful number, since it uses less digits than its factorization.

238876560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 238876560 is about 15455.6319831963. The cubic root of 238876560 is about 620.4753205545.

The spelling of 238876560 in words is "two hundred thirty-eight million, eight hundred seventy-six thousand, five hundred sixty".