238812672 has 240 divisors, whose sum is σ = 783699840. Its totient is φ = 64253952.

The previous prime is 238812661. The next prime is 238812683. The reversal of 238812672 is 276218832.

It is an interprime number because it is at equal distance from previous prime (238812661) and next prime (238812683).

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

It is a self number, because there is not a number n which added to its sum of digits gives 238812672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1429933 + ... + 1430099.

It is an arithmetic number, because the mean of its divisors is an integer number (3265416).

Almost surely, 2^238812672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391849920).

238812672 is an abundant number, since it is smaller than the sum of its proper divisors (544887168).

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

238812672 is a wasteful number, since it uses less digits than its factorization.

238812672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 238812672 is about 15453.5650255855. The cubic root of 238812672 is about 620.4199998458.

The spelling of 238812672 in words is "two hundred thirty-eight million, eight hundred twelve thousand, six hundred seventy-two".