504419616 has 96 divisors (see below), whose sum is σ = 1483130880. Its totient is φ = 166779648.

The previous prime is 504419611. The next prime is 504419633. The reversal of 504419616 is 616914405.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (504419611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107430 + ... + 112026.

It is an arithmetic number, because the mean of its divisors is an integer number (15449280).

Almost surely, 2^504419616 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 504419616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741565440).

504419616 is an abundant number, since it is smaller than the sum of its proper divisors (978711264).

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

504419616 is a wasteful number, since it uses less digits than its factorization.

504419616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4743 (or 4729 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 504419616 is about 22459.2879673422. The cubic root of 504419616 is about 796.0322369376.

The spelling of 504419616 in words is "five hundred four million, four hundred nineteen thousand, six hundred sixteen".