501471360 has 384 divisors, whose sum is σ = 1925829360. Its totient is φ = 119439360.

The previous prime is 501471337. The next prime is 501471361. The reversal of 501471360 is 63174105.

It can be written as a sum of positive squares in 8 ways, for example, as 78428736 + 423042624 = 8856^2 + 20568^2 .

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 (501471361) 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, 2770470 + ... + 2770650.

Almost surely, 2^501471360 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 501471360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962914680).

501471360 is an abundant number, since it is smaller than the sum of its proper divisors (1424358000).

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

501471360 is a wasteful number, since it uses less digits than its factorization.

501471360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 501471360 is about 22393.5562160189. The cubic root of 501471360 is about 794.4783096863.

The spelling of 501471360 in words is "five hundred one million, four hundred seventy-one thousand, three hundred sixty".