538031520 has 288 divisors, whose sum is σ = 2028381264. Its totient is φ = 129024000.

The previous prime is 538031509. The next prime is 538031537. The reversal of 538031520 is 25130835.

It can be written as a sum of positive squares in 8 ways, for example, as 97535376 + 440496144 = 9876^2 + 20988^2 .

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 767170 + ... + 767870.

Almost surely, 2^538031520 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 538031520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014190632).

538031520 is an abundant number, since it is smaller than the sum of its proper divisors (1490349744).

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

538031520 is a wasteful number, since it uses less digits than its factorization.

538031520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 538031520 is about 23195.5064613817. The cubic root of 538031520 is about 813.3345844885.

The spelling of 538031520 in words is "five hundred thirty-eight million, thirty-one thousand, five hundred twenty".