238724640 has 288 divisors, whose sum is σ = 1016136576. Its totient is φ = 49582080.

The previous prime is 238724639. The next prime is 238724641. The reversal of 238724640 is 46427832.

238724640 is a `hidden beast` number, since 2 + 3 + 8 + 7 + 2 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (238724639) and next prime (238724641).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 238724595 and 238724604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238724641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109804 + ... + 111956.

It is an arithmetic number, because the mean of its divisors is an integer number (3528252).

Almost surely, 2^238724640 is an apocalyptic number.

238724640 is a gapful number since it is divisible by the number (20) 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 238724640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508068288).

238724640 is an abundant number, since it is smaller than the sum of its proper divisors (777411936).

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

238724640 is a wasteful number, since it uses less digits than its factorization.

238724640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2181 counting only the distinct ones).

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

The square root of 238724640 is about 15450.7164882409. The cubic root of 238724640 is about 620.3437566473.

The spelling of 238724640 in words is "two hundred thirty-eight million, seven hundred twenty-four thousand, six hundred forty".