538208640 has 384 divisors, whose sum is σ = 1984862880. Its totient is φ = 134184960.

The previous prime is 538208621. The next prime is 538208647. The reversal of 538208640 is 46802835.

538208640 is a `hidden beast` number, since 5 + 3 + 8 + 2 + 0 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×538208640³ (a number of 27 digits) contains 333 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 = 538208595 and 538208604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538208647) 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, 10154854 + ... + 10154906.

Almost surely, 2^538208640 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 538208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992431440).

538208640 is an abundant number, since it is smaller than the sum of its proper divisors (1446654240).

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

538208640 is a wasteful number, since it uses less digits than its factorization.

538208640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 538208640 is about 23199.3241280861. The cubic root of 538208640 is about 813.4238246236.

The spelling of 538208640 in words is "five hundred thirty-eight million, two hundred eight thousand, six hundred forty".