506908720 has 80 divisors (see below), whose sum is σ = 1254830400. Its totient is φ = 189775872.

The previous prime is 506908697. The next prime is 506908739. The reversal of 506908720 is 27809605.

506908720 = T₃₄₁₁ + T₃₄₁₂ + ... + T₃₄₉₅.

506908720 is a nontrivial binomial coefficient, being equal to C(31841, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 506908720.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269704 + ... + 271576.

It is an arithmetic number, because the mean of its divisors is an integer number (15685380).

Almost surely, 2^506908720 is an apocalyptic number.

506908720 is the 31840-th triangular number.

506908720 is the 10614-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506908720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627415200).

506908720 is an abundant number, since it is smaller than the sum of its proper divisors (747921680).

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

506908720 is a wasteful number, since it uses less digits than its factorization.

506908720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 506908720 is about 22514.6334635943. The cubic root of 506908720 is about 797.3394533397.

It can be divided in two parts, 506 and 908720, that added together give a triangular number (909226 = T₁₃₄₈).

The spelling of 506908720 in words is "five hundred six million, nine hundred eight thousand, seven hundred twenty".