503346816 has 288 divisors, whose sum is σ = 1737630180. Its totient is φ = 139345920.

The previous prime is 503346799. The next prime is 503346817. The reversal of 503346816 is 618643305.

It can be written as a sum of positive squares in 2 ways, for example, as 441000000 + 62346816 = 21000^2 + 7896^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (503346817) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2088456 + ... + 2088696.

Almost surely, 2^503346816 is an apocalyptic number.

503346816 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 503346816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868815090).

503346816 is an abundant number, since it is smaller than the sum of its proper divisors (1234283364).

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

503346816 is a wasteful number, since it uses less digits than its factorization.

503346816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 503346816 is about 22435.3920402564. The cubic root of 503346816 is about 795.4675024120.

The spelling of 503346816 in words is "five hundred three million, three hundred forty-six thousand, eight hundred sixteen".