238248864 has 168 divisors, whose sum is σ = 804273120. Its totient is φ = 68024448.

The previous prime is 238248839. The next prime is 238248869. The reversal of 238248864 is 468842832.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (238248869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 162567 + ... + 164025.

It is an arithmetic number, because the mean of its divisors is an integer number (4787340).

Almost surely, 2^238248864 is an apocalyptic number.

238248864 is a gapful number since it is divisible by the number (24) 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 238248864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402136560).

238248864 is an abundant number, since it is smaller than the sum of its proper divisors (566024256).

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

238248864 is an equidigital number, since it uses as much as digits as its factorization.

238248864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1471 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 238248864 is about 15435.3122417397. The cubic root of 238248864 is about 619.9313694411.

The spelling of 238248864 in words is "two hundred thirty-eight million, two hundred forty-eight thousand, eight hundred sixty-four".