238746240 has 192 divisors, whose sum is σ = 832595400. Its totient is φ = 63037440.

The previous prime is 238746223. The next prime is 238746257. The reversal of 238746240 is 42647832.

238746240 is a `hidden beast` number, since 23 + 8 + 7 + 4 + 624 + 0 = 666.

238746240 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (238746223) and next prime (238746257).

It can be written as a sum of positive squares in 4 ways, for example, as 174874176 + 63872064 = 13224^2 + 7992^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×238746240² = 113999534228275200, which contains 22 as substring.

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 = 238746195 and 238746204.

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, 1042446 + ... + 1042674.

Almost surely, 2^238746240 is an apocalyptic number.

238746240 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 238746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416297700).

238746240 is an abundant number, since it is smaller than the sum of its proper divisors (593849160).

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

238746240 is a wasteful number, since it uses less digits than its factorization.

238746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 420 counting only the distinct ones).

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

The square root of 238746240 is about 15451.4154691407. The cubic root of 238746240 is about 620.3624658193.

The spelling of 238746240 in words is "two hundred thirty-eight million, seven hundred forty-six thousand, two hundred forty".