514000 has 40 divisors (see below), whose sum is σ = 1247688. Its totient is φ = 204800.

The previous prime is 513991. The next prime is 514001. The reversal of 514000 is 415.

It can be written as a sum of positive squares in 4 ways, for example, as 7056 + 506944 = 84^2 + 712^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514001) by changing a digit.

514000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1872 + ... + 2128.

2⁵¹⁴⁰⁰⁰ is an apocalyptic number.

514000 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 514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623844).

514000 is an abundant number, since it is smaller than the sum of its proper divisors (733688).

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

514000 is a wasteful number, since it uses less digits than its factorization.

514000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 514000 is about 716.9379331574. The cubic root of 514000 is about 80.1040313266.

Adding to 514000 its reverse (415), we get a palindrome (514415).

The spelling of 514000 in words is "five hundred fourteen thousand".