506516976 has 240 divisors, whose sum is σ = 1728889344. Its totient is φ = 140527872.

The previous prime is 506516917. The next prime is 506516981. The reversal of 506516976 is 679615605.

506516976 is a `hidden beast` number, since 506 + 51 + 6 + 97 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1006741 + ... + 1007243.

Almost surely, 2^506516976 is an apocalyptic number.

506516976 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 506516976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864444672).

506516976 is an abundant number, since it is smaller than the sum of its proper divisors (1222372368).

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

506516976 is a wasteful number, since it uses less digits than its factorization.

506516976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 506516976 is about 22505.9320180258. The cubic root of 506516976 is about 797.1340031721.

The spelling of 506516976 in words is "five hundred six million, five hundred sixteen thousand, nine hundred seventy-six".