516479040 has 672 divisors, whose sum is σ = 2362224384. Its totient is φ = 100270080.

The previous prime is 516479017. The next prime is 516479059. The reversal of 516479040 is 40974615.

516479040 is a `hidden beast` number, since 5 + 1 + 647 + 9 + 0 + 4 + 0 = 666.

516479040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 516478986 and 516479004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3769852 + ... + 3769988.

Almost surely, 2^516479040 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 516479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181112192).

516479040 is an abundant number, since it is smaller than the sum of its proper divisors (1845745344).

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

516479040 is a wasteful number, since it uses less digits than its factorization.

516479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 516479040 is about 22726.1752171367. The cubic root of 516479040 is about 802.3260635638.

The spelling of 516479040 in words is "five hundred sixteen million, four hundred seventy-nine thousand, forty".