406120 has 64 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 134400.

The previous prime is 406117. The next prime is 406123. The reversal of 406120 is 21604.

It is an interprime number because it is at equal distance from previous prime (406117) and next prime (406123).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 406120.

It is not an unprimeable number, because it can be changed into a prime (406123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5685 + ... + 5755.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2⁴⁰⁶¹²⁰ is an apocalyptic number.

406120 is a gapful number since it is divisible by the number (40) 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 406120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

406120 is an abundant number, since it is smaller than the sum of its proper divisors (682520).

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

406120 is a wasteful number, since it uses less digits than its factorization.

406120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 406120 is about 637.2754506491. The cubic root of 406120 is about 74.0545008779.

Adding to 406120 its reverse (21604), we get a palindrome (427724).

The spelling of 406120 in words is "four hundred six thousand, one hundred twenty".