507416 has 64 divisors (see below), whose sum is σ = 1270080. Its totient is φ = 184320.

The previous prime is 507401. The next prime is 507421. The reversal of 507416 is 614705.

507416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 507391 and 507400.

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 507416.

It is an unprimeable number.

507416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 12356 + ... + 12396.

It is an arithmetic number, because the mean of its divisors is an integer number (19845).

2⁵⁰⁷⁴¹⁶ is an apocalyptic number.

507416 is a gapful number since it is divisible by the number (56) 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 507416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635040).

507416 is an abundant number, since it is smaller than the sum of its proper divisors (762664).

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

507416 is a wasteful number, since it uses less digits than its factorization.

507416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 507416 is about 712.3313835568. The cubic root of 507416 is about 79.7605339151.

The spelling of 507416 in words is "five hundred seven thousand, four hundred sixteen".