238541760 has 140 divisors (see below), whose sum is σ = 848627208. Its totient is φ = 63604224.

The previous prime is 238541749. The next prime is 238541761. The reversal of 238541760 is 67145832.

238541760 is a `hidden beast` number, since 238 + 5 + 417 + 6 + 0 = 666.

It is a super-3 number, since 3×238541760³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238541761) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21319 + ... + 30521.

Almost surely, 2^238541760 is an apocalyptic number.

238541760 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 238541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424313604).

238541760 is an abundant number, since it is smaller than the sum of its proper divisors (610085448).

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

238541760 is an equidigital number, since it uses as much as digits as its factorization.

238541760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9232 (or 9213 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 238541760 is about 15444.7971822229. The cubic root of 238541760 is about 620.1853070791.

The spelling of 238541760 in words is "two hundred thirty-eight million, five hundred forty-one thousand, seven hundred sixty".