502216416 has 192 divisors, whose sum is σ = 1605522240. Its totient is φ = 151787520.

The previous prime is 502216369. The next prime is 502216427. The reversal of 502216416 is 614612205.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 502216416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684786 + ... + 685518.

It is an arithmetic number, because the mean of its divisors is an integer number (8362095).

Almost surely, 2^502216416 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 502216416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802761120).

502216416 is an abundant number, since it is smaller than the sum of its proper divisors (1103305824).

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

502216416 is a wasteful number, since it uses less digits than its factorization.

502216416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 502216416 is about 22410.1855414006. The cubic root of 502216416 is about 794.8715776897.

The spelling of 502216416 in words is "five hundred two million, two hundred sixteen thousand, four hundred sixteen".