538132320 has 288 divisors, whose sum is σ = 2044302624. Its totient is φ = 127795200.

The previous prime is 538132313. The next prime is 538132327. The reversal of 538132320 is 23231835.

It is an interprime number because it is at equal distance from previous prime (538132313) and next prime (538132327).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538132327) 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, 839200 + ... + 839840.

It is an arithmetic number, because the mean of its divisors is an integer number (7098273).

Almost surely, 2^538132320 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 538132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022151312).

538132320 is an abundant number, since it is smaller than the sum of its proper divisors (1506170304).

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

538132320 is a wasteful number, since it uses less digits than its factorization.

538132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 538132320 is about 23197.6791942642. The cubic root of 538132320 is about 813.3853739582.

The spelling of 538132320 in words is "five hundred thirty-eight million, one hundred thirty-two thousand, three hundred twenty".