500481920224 has 384 divisors, whose sum is σ = 1276887628800. Its totient is φ = 189483909120.

The previous prime is 500481920179. The next prime is 500481920231. The reversal of 500481920224 is 422029184005.

It is a super-2 number, since 2×500481920224² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 705897982 + ... + 705898690.

It is an arithmetic number, because the mean of its divisors is an integer number (3325228200).

Almost surely, 2^500481920224 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 500481920224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638443814400).

500481920224 is an abundant number, since it is smaller than the sum of its proper divisors (776405708576).

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

500481920224 is a wasteful number, since it uses less digits than its factorization.

500481920224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 500481920224 in words is "five hundred billion, four hundred eighty-one million, nine hundred twenty thousand, two hundred twenty-four".