516798480 has 160 divisors (see below), whose sum is σ = 1839882240. Its totient is φ = 118679040.

The previous prime is 516798479. The next prime is 516798493. The reversal of 516798480 is 84897615.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45009 + ... + 55311.

It is an arithmetic number, because the mean of its divisors is an integer number (11499264).

Almost surely, 2^516798480 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 516798480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919941120).

516798480 is an abundant number, since it is smaller than the sum of its proper divisors (1323083760).

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

516798480 is a wasteful number, since it uses less digits than its factorization.

516798480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10349 (or 10343 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 516798480 is about 22733.2021501591. The cubic root of 516798480 is about 802.4914411797.

The spelling of 516798480 in words is "five hundred sixteen million, seven hundred ninety-eight thousand, four hundred eighty".