516803040 has 288 divisors, whose sum is σ = 2000587680. Its totient is φ = 120434688.

The previous prime is 516803033. The next prime is 516803057. The reversal of 516803040 is 40308615.

516803040 is a `hidden beast` number, since 516 + 80 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 516802995 and 516803013.

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, 354954 + ... + 356406.

It is an arithmetic number, because the mean of its divisors is an integer number (6946485).

Almost surely, 2^516803040 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 516803040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000293840).

516803040 is an abundant number, since it is smaller than the sum of its proper divisors (1483784640).

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

516803040 is a wasteful number, since it uses less digits than its factorization.

516803040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 516803040 is about 22733.3024437718. The cubic root of 516803040 is about 802.4938014486.

The spelling of 516803040 in words is "five hundred sixteen million, eight hundred three thousand, forty".