503416320 has 320 divisors, whose sum is σ = 1803098880. Its totient is φ = 118784000.

The previous prime is 503416297. The next prime is 503416321. The reversal of 503416320 is 23614305.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503416321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4984270 + ... + 4984370.

It is an arithmetic number, because the mean of its divisors is an integer number (5634684).

Almost surely, 2^503416320 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 503416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901549440).

503416320 is an abundant number, since it is smaller than the sum of its proper divisors (1299682560).

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

503416320 is a wasteful number, since it uses less digits than its factorization.

503416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 503416320 is about 22436.9409679662. The cubic root of 503416320 is about 795.5041144304.

The spelling of 503416320 in words is "five hundred three million, four hundred sixteen thousand, three hundred twenty".