516461352 has 64 divisors (see below), whose sum is σ = 1411992000. Its totient is φ = 156119040.

The previous prime is 516461321. The next prime is 516461359. The reversal of 516461352 is 253164615.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (516461359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116358 + ... + 120714.

It is an arithmetic number, because the mean of its divisors is an integer number (22062375).

Almost surely, 2^516461352 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 516461352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705996000).

516461352 is an abundant number, since it is smaller than the sum of its proper divisors (895530648).

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

516461352 is a wasteful number, since it uses less digits than its factorization.

516461352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4826 (or 4822 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 516461352 is about 22725.7860590123. The cubic root of 516461352 is about 802.3169042987.

The spelling of 516461352 in words is "five hundred sixteen million, four hundred sixty-one thousand, three hundred fifty-two".