406380 has 48 divisors (see below), whose sum is σ = 1227744. Its totient is φ = 99840.

The previous prime is 406361. The next prime is 406381. The reversal of 406380 is 83604.

406380 = T₂₉₆ + T₂₉₇ + ... + T₃₀₄.

406380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (406381) by changing a digit.

406380 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 15 ways as a sum of consecutive naturals, for example, 520 + ... + 1040.

It is an arithmetic number, because the mean of its divisors is an integer number (25578).

2⁴⁰⁶³⁸⁰ 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 406380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613872).

406380 is an abundant number, since it is smaller than the sum of its proper divisors (821364).

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

406380 is a wasteful number, since it uses less digits than its factorization.

406380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 406380 is about 637.4794114322. The cubic root of 406380 is about 74.0703008572.

Adding to 406380 its reverse (83604), we get a palindrome (489984).

The spelling of 406380 in words is "four hundred six thousand, three hundred eighty".