516477240 has 192 divisors, whose sum is σ = 1767074400. Its totient is φ = 130636800.

The previous prime is 516477239. The next prime is 516477251. The reversal of 516477240 is 42774615.

516477240 is a `hidden beast` number, since 5 + 1 + 647 + 7 + 2 + 4 + 0 = 666.

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 = 516477195 and 516477204.

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, 636435 + ... + 637245.

Almost surely, 2^516477240 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 516477240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883537200).

516477240 is an abundant number, since it is smaller than the sum of its proper divisors (1250597160).

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

516477240 is a wasteful number, since it uses less digits than its factorization.

516477240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 516477240 is about 22726.1356151898. The cubic root of 516477240 is about 802.3251314908.

The spelling of 516477240 in words is "five hundred sixteen million, four hundred seventy-seven thousand, two hundred forty".