238661280 has 576 divisors, whose sum is σ = 1023684480. Its totient is φ = 49766400.

The previous prime is 238661273. The next prime is 238661323. The reversal of 238661280 is 82166832.

238661280 is a `hidden beast` number, since 2 + 38 + 6 + 612 + 8 + 0 = 666.

238661280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 3912450 + ... + 3912510.

It is an arithmetic number, because the mean of its divisors is an integer number (1777230).

Almost surely, 2^238661280 is an apocalyptic number.

238661280 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 238661280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511842240).

238661280 is an abundant number, since it is smaller than the sum of its proper divisors (785023200).

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

238661280 is a wasteful number, since it uses less digits than its factorization.

238661280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 238661280 is about 15448.6659618234. The cubic root of 238661280 is about 620.2888698983.

The spelling of 238661280 in words is "two hundred thirty-eight million, six hundred sixty-one thousand, two hundred eighty".