538518240 has 384 divisors, whose sum is σ = 2086318080. Its totient is φ = 128894976.

The previous prime is 538518223. The next prime is 538518247. The reversal of 538518240 is 42815835.

It is a happy number.

538518240 is a `hidden beast` number, since 538 + 5 + 1 + 82 + 40 = 666.

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 = 538518195 and 538518204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538518247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2414769 + ... + 2414991.

It is an arithmetic number, because the mean of its divisors is an integer number (5433120).

Almost surely, 2^538518240 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 538518240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043159040).

538518240 is an abundant number, since it is smaller than the sum of its proper divisors (1547799840).

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

538518240 is a wasteful number, since it uses less digits than its factorization.

538518240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 538518240 is about 23205.9957769539. The cubic root of 538518240 is about 813.5797664672.

The spelling of 538518240 in words is "five hundred thirty-eight million, five hundred eighteen thousand, two hundred forty".