516224160 has 144 divisors (see below), whose sum is σ = 1771005600. Its totient is φ = 136926720.

The previous prime is 516224147. The next prime is 516224179. The reversal of 516224160 is 61422615.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302991 + ... + 304689.

It is an arithmetic number, because the mean of its divisors is an integer number (12298650).

Almost surely, 2^516224160 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 516224160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885502800).

516224160 is an abundant number, since it is smaller than the sum of its proper divisors (1254781440).

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

516224160 is a wasteful number, since it uses less digits than its factorization.

516224160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1920 counting only the distinct ones).

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

The square root of 516224160 is about 22720.5668943361. The cubic root of 516224160 is about 802.1940604557.

Adding to 516224160 its reverse (61422615), we get a palindrome (577646775).

It can be divided in two parts, 516 and 224160, that added together give a square (224676 = 474²).

The spelling of 516224160 in words is "five hundred sixteen million, two hundred twenty-four thousand, one hundred sixty".