406320 has 40 divisors (see below), whose sum is σ = 1260336. Its totient is φ = 108288.

The previous prime is 406313. The next prime is 406327. The reversal of 406320 is 23604.

It is an interprime number because it is at equal distance from previous prime (406313) and next prime (406327).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 406320.

It is not an unprimeable number, because it can be changed into a prime (406327) 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, 607 + ... + 1086.

2⁴⁰⁶³²⁰ is an apocalyptic number.

406320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406320 is an abundant number, since it is smaller than the sum of its proper divisors (854016).

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

406320 is a wasteful number, since it uses less digits than its factorization.

406320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 406320 is about 637.4323493517. The cubic root of 406320 is about 74.0666553064.

Adding to 406320 its reverse (23604), we get a palindrome (429924).

The spelling of 406320 in words is "four hundred six thousand, three hundred twenty".