514416 has 40 divisors (see below), whose sum is σ = 1519744. Its totient is φ = 146880.

The previous prime is 514399. The next prime is 514417. The reversal of 514416 is 614415.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 514392 and 514401.

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 514416.

It is not an unprimeable number, because it can be changed into a prime (514417) 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 7 ways as a sum of consecutive naturals, for example, 430 + ... + 1101.

2⁵¹⁴⁴¹⁶ is an apocalyptic number.

514416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

514416 is an abundant number, since it is smaller than the sum of its proper divisors (1005328).

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

514416 is a wasteful number, since it uses less digits than its factorization.

514416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1543 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 514416 is about 717.2279972226. The cubic root of 514416 is about 80.1256359252.

Subtracting 514416 from its reverse (614415), we obtain a palindrome (99999).

The spelling of 514416 in words is "five hundred fourteen thousand, four hundred sixteen".