238361760 has 576 divisors, whose sum is σ = 1069915392. Its totient is φ = 46891008.

The previous prime is 238361693. The next prime is 238361789. The reversal of 238361760 is 67163832.

It is a happy number.

238361760 is a `hidden beast` number, since 2 + 38 + 3 + 617 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2227627 + ... + 2227733.

It is an arithmetic number, because the mean of its divisors is an integer number (1857492).

Almost surely, 2^238361760 is an apocalyptic number.

238361760 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 238361760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534957696).

238361760 is an abundant number, since it is smaller than the sum of its proper divisors (831553632).

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

238361760 is a wasteful number, since it uses less digits than its factorization.

238361760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 238361760 is about 15438.9688774866. The cubic root of 238361760 is about 620.0292736785.

It can be divided in two parts, 238361 and 760, that added together give a square (239121 = 489²).

The spelling of 238361760 in words is "two hundred thirty-eight million, three hundred sixty-one thousand, seven hundred sixty".