238656264 has 192 divisors, whose sum is σ = 797817600. Its totient is φ = 58665600.

The previous prime is 238656247. The next prime is 238656289. The reversal of 238656264 is 462656832.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (414720) is a multiple of the sum of its prime factors (1024).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 245299 + ... + 246269.

It is an arithmetic number, because the mean of its divisors is an integer number (4155300).

Almost surely, 2^238656264 is an apocalyptic number.

238656264 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 238656264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398908800).

238656264 is an abundant number, since it is smaller than the sum of its proper divisors (559161336).

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

238656264 is a wasteful number, since it uses less digits than its factorization.

238656264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1013 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 238656264 is about 15448.5036168556. The cubic root of 238656264 is about 620.2845242823.

The spelling of 238656264 in words is "two hundred thirty-eight million, six hundred fifty-six thousand, two hundred sixty-four".