503309500416 has 384 divisors, whose sum is σ = 1557237427200. Its totient is φ = 162278277120.

The previous prime is 503309500409. The next prime is 503309500453. The reversal of 503309500416 is 614005903305.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246840325 + ... + 246842363.

It is an arithmetic number, because the mean of its divisors is an integer number (4055305800).

Almost surely, 2^503309500416 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 503309500416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778618713600).

503309500416 is an abundant number, since it is smaller than the sum of its proper divisors (1053927926784).

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

503309500416 is an frugal number, since it uses more digits than its factorization.

503309500416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 503309500416 in words is "five hundred three billion, three hundred nine million, five hundred thousand, four hundred sixteen".