501596240 has 80 divisors (see below), whose sum is σ = 1195276176. Its totient is φ = 195686400.

The previous prime is 501596239. The next prime is 501596269. The reversal of 501596240 is 42695105.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 24960016 + 476636224 = 4996^2 + 21832^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 501596197 and 501596206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1191230 + ... + 1191650.

Almost surely, 2^501596240 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 501596240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597638088).

501596240 is an abundant number, since it is smaller than the sum of its proper divisors (693679936).

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

501596240 is a wasteful number, since it uses less digits than its factorization.

501596240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 501596240 is about 22396.3443445577. The cubic root of 501596240 is about 794.5442531111.

The spelling of 501596240 in words is "five hundred one million, five hundred ninety-six thousand, two hundred forty".