416013 has 8 divisors (see below), whose sum is σ = 597408. Its totient is φ = 255984.

The previous prime is 416011. The next prime is 416023. The reversal of 416013 is 310614.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 416013 - 2¹ = 416011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 415983 and 416001.

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 416013.

It is not an unprimeable number, because it can be changed into a prime (416011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5295 + ... + 5372.

It is an arithmetic number, because the mean of its divisors is an integer number (74676).

2⁴¹⁶⁰¹³ is an apocalyptic number.

It is an amenable number.

416013 is a deficient number, since it is larger than the sum of its proper divisors (181395).

416013 is a wasteful number, since it uses less digits than its factorization.

416013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10683.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 416013 is about 644.9906976073. The cubic root of 416013 is about 74.6510007347.

Adding to 416013 its reverse (310614), we get a palindrome (726627).

The spelling of 416013 in words is "four hundred sixteen thousand, thirteen".