506479680 has 504 divisors, whose sum is σ = 2102726808. Its totient is φ = 111476736.

The previous prime is 506479663. The next prime is 506479681. The reversal of 506479680 is 86974605.

It can be written as a sum of positive squares in 4 ways, for example, as 126697536 + 379782144 = 11256^2 + 19488^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (506479681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5221392 + ... + 5221488.

It is an arithmetic number, because the mean of its divisors is an integer number (4172077).

Almost surely, 2^506479680 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 506479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051363404).

506479680 is an abundant number, since it is smaller than the sum of its proper divisors (1596247128).

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

506479680 is a wasteful number, since it uses less digits than its factorization.

506479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 506479680 is about 22505.1034212243. The cubic root of 506479680 is about 797.1144377604.

The spelling of 506479680 in words is "five hundred six million, four hundred seventy-nine thousand, six hundred eighty".