512248320 has 160 divisors (see below), whose sum is σ = 1819794240. Its totient is φ = 136581120.

The previous prime is 512248279. The next prime is 512248327. The reversal of 512248320 is 23842215.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (512248327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65415 + ... + 72825.

It is an arithmetic number, because the mean of its divisors is an integer number (11373714).

Almost surely, 2^512248320 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 512248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909897120).

512248320 is an abundant number, since it is smaller than the sum of its proper divisors (1307545920).

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

512248320 is an equidigital number, since it uses as much as digits as its factorization.

512248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7443 (or 7421 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 512248320 is about 22632.9034814360. The cubic root of 512248320 is about 800.1293124301.

It can be divided in two parts, 512 and 248320, that added together give a 5-th power (248832 = 12⁵).

The spelling of 512248320 in words is "five hundred twelve million, two hundred forty-eight thousand, three hundred twenty".