514005200 has 120 divisors (see below), whose sum is σ = 1317069720. Its totient is φ = 192102400.

The previous prime is 514005179. The next prime is 514005211. The reversal of 514005200 is 2500415.

It can be written as a sum of positive squares in 12 ways, for example, as 145057936 + 368947264 = 12044^2 + 19208^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1829060 + ... + 1829340.

It is an arithmetic number, because the mean of its divisors is an integer number (10975581).

Almost surely, 2^514005200 is an apocalyptic number.

514005200 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 514005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658534860).

514005200 is an abundant number, since it is smaller than the sum of its proper divisors (803064520).

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

514005200 is a wasteful number, since it uses less digits than its factorization.

514005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 514005200 is about 22671.6827783030. The cubic root of 514005200 is about 801.0430145598.

Adding to 514005200 its reverse (2500415), we get a palindrome (516505615).

The spelling of 514005200 in words is "five hundred fourteen million, five thousand, two hundred".