504659540 has 144 divisors (see below), whose sum is σ = 1375675392. Its totient is φ = 152222400.

The previous prime is 504659531. The next prime is 504659549. The reversal of 504659540 is 45956405.

It is an interprime number because it is at equal distance from previous prime (504659531) and next prime (504659549).

It is a junction number, because it is equal to n+sod(n) for n = 504659494 and 504659503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504659549) 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, 16279325 + ... + 16279355.

Almost surely, 2^504659540 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 504659540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687837696).

504659540 is an abundant number, since it is smaller than the sum of its proper divisors (871015852).

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

504659540 is a wasteful number, since it uses less digits than its factorization.

504659540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

The square root of 504659540 is about 22464.6286414888. The cubic root of 504659540 is about 796.1584261656.

The spelling of 504659540 in words is "five hundred four million, six hundred fifty-nine thousand, five hundred forty".