514140 has 96 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 115200.

The previous prime is 514127. The next prime is 514147. The reversal of 514140 is 41415.

514140 = 250² + 251² + ... + 257².

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 514140.

It is not an unprimeable number, because it can be changed into a prime (514147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12520 + ... + 12560.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2⁵¹⁴¹⁴⁰ 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 514140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

514140 is an abundant number, since it is smaller than the sum of its proper divisors (1179300).

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

514140 is a wasteful number, since it uses less digits than its factorization.

514140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 514140 is about 717.0355639716. The cubic root of 514140 is about 80.1113034059. Note that the first 3 decimals are identical.

Adding to 514140 its reverse (41415), we get a palindrome (555555).

The spelling of 514140 in words is "five hundred fourteen thousand, one hundred forty".