504917440 has 56 divisors (see below), whose sum is σ = 1217615040. Its totient is φ = 199400448.

The previous prime is 504917437. The next prime is 504917443. The reversal of 504917440 is 44719405.

It is an interprime number because it is at equal distance from previous prime (504917437) and next prime (504917443).

It is a junction number, because it is equal to n+sod(n) for n = 504917396 and 504917405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504917443) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15294 + ... + 35266.

Almost surely, 2^504917440 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 504917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608807520).

504917440 is an abundant number, since it is smaller than the sum of its proper divisors (712697600).

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

504917440 is a wasteful number, since it uses less digits than its factorization.

504917440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20069 (or 20059 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 504917440 is about 22470.3680432698. The cubic root of 504917440 is about 796.2940253665.

The spelling of 504917440 in words is "five hundred four million, nine hundred seventeen thousand, four hundred forty".