503534880 has 192 divisors, whose sum is σ = 1785369600. Its totient is φ = 134182656.

The previous prime is 503534839. The next prime is 503534881. The reversal of 503534880 is 88435305.

It is a super-2 number, since 2×503534880² = 507094750753228800, which contains 22 as substring.

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 (503534881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349201 + ... + 350639.

It is an arithmetic number, because the mean of its divisors is an integer number (9298800).

Almost surely, 2^503534880 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 503534880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892684800).

503534880 is an abundant number, since it is smaller than the sum of its proper divisors (1281834720).

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

503534880 is an equidigital number, since it uses as much as digits as its factorization.

503534880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 503534880 is about 22439.5828838238. The cubic root of 503534880 is about 795.5665594757.

The spelling of 503534880 in words is "five hundred three million, five hundred thirty-four thousand, eight hundred eighty".