238756480 has 64 divisors (see below), whose sum is σ = 580543200. Its totient is φ = 93869056.

The previous prime is 238756433. The next prime is 238756481. The reversal of 238756480 is 84657832.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (238756481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34599 + ... + 40921.

Almost surely, 2^238756480 is an apocalyptic number.

238756480 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 238756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290271600).

238756480 is an abundant number, since it is smaller than the sum of its proper divisors (341786720).

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

238756480 is an equidigital number, since it uses as much as digits as its factorization.

238756480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6401 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The square root of 238756480 is about 15451.7468268154. The cubic root of 238756480 is about 620.3713349584.

The spelling of 238756480 in words is "two hundred thirty-eight million, seven hundred fifty-six thousand, four hundred eighty".