406620 has 60 divisors (see below), whose sum is σ = 1280664. Its totient is φ = 108000.

The previous prime is 406591. The next prime is 406631. The reversal of 406620 is 26604.

406620 is a `hidden beast` number, since 4 + 0 + 662 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 406593 and 406602.

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 406620.

It is an unprimeable number.

406620 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 19 ways as a sum of consecutive naturals, for example, 1495 + ... + 1745.

2⁴⁰⁶⁶²⁰ 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 406620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640332).

406620 is an abundant number, since it is smaller than the sum of its proper divisors (874044).

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

406620 is a wasteful number, since it uses less digits than its factorization.

406620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 406620 is about 637.6676250211. The cubic root of 406620 is about 74.0848794731.

The spelling of 406620 in words is "four hundred six thousand, six hundred twenty".