516174240 has 96 divisors (see below), whose sum is σ = 1648334016. Its totient is φ = 135751680.

The previous prime is 516174233. The next prime is 516174289. The reversal of 516174240 is 42471615.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 516174198 and 516174207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27675 + ... + 42405.

It is an arithmetic number, because the mean of its divisors is an integer number (17170146).

Almost surely, 2^516174240 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 516174240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824167008).

516174240 is an abundant number, since it is smaller than the sum of its proper divisors (1132159776).

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

516174240 is a wasteful number, since it uses less digits than its factorization.

516174240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14822 (or 14814 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 516174240 is about 22719.4683036377. The cubic root of 516174240 is about 802.1682016515.

It can be divided in two parts, 5161 and 74240, that added together give a triangular number (79401 = T₃₉₈).

The spelling of 516174240 in words is "five hundred sixteen million, one hundred seventy-four thousand, two hundred forty".