516388320 has 144 divisors (see below), whose sum is σ = 2013953760. Its totient is φ = 118029312.

The previous prime is 516388303. The next prime is 516388321. The reversal of 516388320 is 23883615.

516388320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516388321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15535 + ... + 35694.

It is an arithmetic number, because the mean of its divisors is an integer number (13985790).

Almost surely, 2^516388320 is an apocalyptic number.

It is an amenable number.

516388320 is an abundant number, since it is smaller than the sum of its proper divisors (1497565440).

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

516388320 is a wasteful number, since it uses less digits than its factorization.

516388320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51257 (or 51246 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 516388320 is about 22724.1791930974. The cubic root of 516388320 is about 802.2790843856.

The spelling of 516388320 in words is "five hundred sixteen million, three hundred eighty-eight thousand, three hundred twenty".