516996480 has 512 divisors, whose sum is σ = 2220825600. Its totient is φ = 98795520.

The previous prime is 516996463. The next prime is 516996499. The reversal of 516996480 is 84699615.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1921786 + ... + 1922054.

It is an arithmetic number, because the mean of its divisors is an integer number (4337550).

Almost surely, 2^516996480 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 516996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110412800).

516996480 is an abundant number, since it is smaller than the sum of its proper divisors (1703829120).

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

516996480 is a wasteful number, since it uses less digits than its factorization.

516996480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 516996480 is about 22737.5565969609. The cubic root of 516996480 is about 802.5939137576.

The spelling of 516996480 in words is "five hundred sixteen million, nine hundred ninety-six thousand, four hundred eighty".