538261920 has 288 divisors, whose sum is σ = 2133226368. Its totient is φ = 121042944.

The previous prime is 538261877. The next prime is 538261931. The reversal of 538261920 is 29162835.

538261920 is a `hidden beast` number, since 5 + 38 + 2 + 619 + 2 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 674962 + ... + 675758.

It is an arithmetic number, because the mean of its divisors is an integer number (7407036).

Almost surely, 2^538261920 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 538261920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066613184).

538261920 is an abundant number, since it is smaller than the sum of its proper divisors (1594964448).

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

538261920 is a wasteful number, since it uses less digits than its factorization.

538261920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 538261920 is about 23200.4724089834. The cubic root of 538261920 is about 813.4506653864.

The spelling of 538261920 in words is "five hundred thirty-eight million, two hundred sixty-one thousand, nine hundred twenty".