238062240 has 336 divisors, whose sum is σ = 913896648. Its totient is φ = 58226688.

The previous prime is 238062211. The next prime is 238062263. The reversal of 238062240 is 42260832.

238062240 is a `hidden beast` number, since 2 + 38 + 0 + 622 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 123743376 + 114318864 = 11124^2 + 10692^2 .

It is a super-2 number, since 2×238062240² = 113347260227635200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1516242 + ... + 1516398.

Almost surely, 2^238062240 is an apocalyptic number.

238062240 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 238062240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456948324).

238062240 is an abundant number, since it is smaller than the sum of its proper divisors (675834408).

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

238062240 is a wasteful number, since it uses less digits than its factorization.

238062240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 238062240 is about 15429.2656986650. The cubic root of 238062240 is about 619.7694598991.

It can be divided in two parts, 2380 and 62240, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 238062240 in words is "two hundred thirty-eight million, sixty-two thousand, two hundred forty".