500978016 has 576 divisors, whose sum is σ = 1981324800. Its totient is φ = 116121600.

The previous prime is 500978003. The next prime is 500978021. The reversal of 500978016 is 610879005.

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 95 ways as a sum of consecutive naturals, for example, 12218956 + ... + 12218996.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^500978016 is an apocalyptic number.

500978016 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 500978016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990662400).

500978016 is an abundant number, since it is smaller than the sum of its proper divisors (1480346784).

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

500978016 is a wasteful number, since it uses less digits than its factorization.

500978016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 500978016 is about 22382.5381938689. The cubic root of 500978016 is about 794.2176901431.

The spelling of 500978016 in words is "five hundred million, nine hundred seventy-eight thousand, sixteen".