514320000 has 160 divisors (see below), whose sum is σ = 1707953280. Its totient is φ = 137088000.

The previous prime is 514319999. The next prime is 514320011. The reversal of 514320000 is 23415.

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 (15).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 238929 + ... + 241071.

It is an arithmetic number, because the mean of its divisors is an integer number (10674708).

Almost surely, 2^514320000 is an apocalyptic number.

514320000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853976640).

514320000 is an abundant number, since it is smaller than the sum of its proper divisors (1193633280).

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

514320000 is an equidigital number, since it uses as much as digits as its factorization.

514320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 514320000 is about 22678.6242969013. The cubic root of 514320000 is about 801.2065128271.

Adding to 514320000 its reverse (23415), we get a palindrome (514343415).

The spelling of 514320000 in words is "five hundred fourteen million, three hundred twenty thousand".