538001280 has 384 divisors, whose sum is σ = 2016368640. Its totient is φ = 131788800.

The previous prime is 538001263. The next prime is 538001281. The reversal of 538001280 is 82100835.

It is a happy number.

538001280 is a `hidden beast` number, since 5 + 380 + 0 + 1 + 280 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538001281) 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, 4106815 + ... + 4106945.

It is an arithmetic number, because the mean of its divisors is an integer number (5250960).

Almost surely, 2^538001280 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 538001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008184320).

538001280 is an abundant number, since it is smaller than the sum of its proper divisors (1478367360).

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

538001280 is a wasteful number, since it uses less digits than its factorization.

538001280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 538001280 is about 23194.8546018293. The cubic root of 538001280 is about 813.3193464106.

The spelling of 538001280 in words is "five hundred thirty-eight million, one thousand, two hundred eighty".