503589640 has 64 divisors (see below), whose sum is σ = 1241146800. Its totient is φ = 183042048.

The previous prime is 503589629. The next prime is 503589643. The reversal of 503589640 is 46985305.

It can be written as a sum of positive squares in 8 ways, for example, as 425761956 + 77827684 = 20634^2 + 8822^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 503589593 and 503589602.

It is not an unprimeable number, because it can be changed into a prime (503589643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6952 + ... + 32488.

Almost surely, 2^503589640 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 503589640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620573400).

503589640 is an abundant number, since it is smaller than the sum of its proper divisors (737557160).

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

503589640 is a wasteful number, since it uses less digits than its factorization.

503589640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25594 (or 25590 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 503589640 is about 22440.8030159351. The cubic root of 503589640 is about 795.5953980245.

The spelling of 503589640 in words is "five hundred three million, five hundred eighty-nine thousand, six hundred forty".