516302304 has 96 divisors (see below), whose sum is σ = 1564448256. Its totient is φ = 146035200.

The previous prime is 516302287. The next prime is 516302323. The reversal of 516302304 is 403203615.

It is a happy number.

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 (24).

It is a congruent number.

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, 64069 + ... + 71675.

It is an arithmetic number, because the mean of its divisors is an integer number (16296336).

Almost surely, 2^516302304 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 516302304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782224128).

516302304 is an abundant number, since it is smaller than the sum of its proper divisors (1048145952).

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

516302304 is a wasteful number, since it uses less digits than its factorization.

516302304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7728 (or 7720 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 516302304 is about 22722.2865046632. The cubic root of 516302304 is about 802.2345360828.

Adding to 516302304 its reverse (403203615), we get a palindrome (919505919).

The spelling of 516302304 in words is "five hundred sixteen million, three hundred two thousand, three hundred four".