504997416 has 320 divisors, whose sum is σ = 1829520000. Its totient is φ = 126282240.

The previous prime is 504997399. The next prime is 504997417. The reversal of 504997416 is 614799405.

It is not an unprimeable number, because it can be changed into a prime (504997417) 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 79 ways as a sum of consecutive naturals, for example, 1446810 + ... + 1447158.

It is an arithmetic number, because the mean of its divisors is an integer number (5717250).

Almost surely, 2^504997416 is an apocalyptic number.

504997416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504997416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914760000).

504997416 is an abundant number, since it is smaller than the sum of its proper divisors (1324522584).

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

504997416 is a wasteful number, since it uses less digits than its factorization.

504997416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 504997416 is about 22472.1475609253. The cubic root of 504997416 is about 796.3360659351.

The spelling of 504997416 in words is "five hundred four million, nine hundred ninety-seven thousand, four hundred sixteen".