416120 has 32 divisors (see below), whose sum is σ = 954720. Its totient is φ = 163200.

The previous prime is 416107. The next prime is 416147. The reversal of 416120 is 21614.

416120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 416095 and 416104.

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 416120.

It is an unprimeable number.

416120 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, 3989 + ... + 4091.

It is an arithmetic number, because the mean of its divisors is an integer number (29835).

2⁴¹⁶¹²⁰ is an apocalyptic number.

416120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416120 is an abundant number, since it is smaller than the sum of its proper divisors (538600).

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

416120 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (416119) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (211).

416120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 416120 is about 645.0736392072. The cubic root of 416120 is about 74.6574003523.

Adding to 416120 its reverse (21614), we get a palindrome (437734).

The spelling of 416120 in words is "four hundred sixteen thousand, one hundred twenty".