238986720 has 288 divisors, whose sum is σ = 973879200. Its totient is φ = 54577152.

The previous prime is 238986703. The next prime is 238986739. The reversal of 238986720 is 27689832.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×238986720² = 114229304672716800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 211116 + ... + 212244.

It is an arithmetic number, because the mean of its divisors is an integer number (3381525).

Almost surely, 2^238986720 is an apocalyptic number.

238986720 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 238986720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486939600).

238986720 is an abundant number, since it is smaller than the sum of its proper divisors (734892480).

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

238986720 is a wasteful number, since it uses less digits than its factorization.

238986720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 238986720 is about 15459.1953218788. The cubic root of 238986720 is about 620.5706850907.

The spelling of 238986720 in words is "two hundred thirty-eight million, nine hundred eighty-six thousand, seven hundred twenty".