238601376 has 240 divisors, whose sum is σ = 773947944. Its totient is φ = 71663616.

The previous prime is 238601351. The next prime is 238601383. The reversal of 238601376 is 673106832.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 167029776 + 71571600 = 12924^2 + 8460^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 238601376.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2459760 + ... + 2459856.

Almost surely, 2^238601376 is an apocalyptic number.

238601376 is a gapful number since it is divisible by the number (26) 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 238601376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386973972).

238601376 is an abundant number, since it is smaller than the sum of its proper divisors (535346568).

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

238601376 is a wasteful number, since it uses less digits than its factorization.

238601376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 238601376 is about 15446.7270319638. The cubic root of 238601376 is about 620.2369680372.

The spelling of 238601376 in words is "two hundred thirty-eight million, six hundred one thousand, three hundred seventy-six".