238440672 has 120 divisors (see below), whose sum is σ = 712232136. Its totient is φ = 78236928.

The previous prime is 238440659. The next prime is 238440673. The reversal of 238440672 is 276044832.

It is a super-3 number, since 3×238440672³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238440673) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 172978 + ... + 174350.

Almost surely, 2^238440672 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 238440672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356116068).

238440672 is an abundant number, since it is smaller than the sum of its proper divisors (473791464).

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

238440672 is a wasteful number, since it uses less digits than its factorization.

238440672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 238440672 is about 15441.5242770913. The cubic root of 238440672 is about 620.0976883880.

The spelling of 238440672 in words is "two hundred thirty-eight million, four hundred forty thousand, six hundred seventy-two".