406480 has 20 divisors (see below), whose sum is σ = 945252. Its totient is φ = 162560.

The previous prime is 406447. The next prime is 406481. The reversal of 406480 is 84604.

It can be written as a sum of positive squares in 2 ways, for example, as 97344 + 309136 = 312^2 + 556^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×406480³ = 201483181733376000, which contains 333 as substring.

It is an Ulam number.

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 406480.

It is not an unprimeable number, because it can be changed into a prime (406481) by changing a digit.

406480 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 3 ways as a sum of consecutive naturals, for example, 2461 + ... + 2620.

2⁴⁰⁶⁴⁸⁰ is an apocalyptic number.

406480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406480 is an abundant number, since it is smaller than the sum of its proper divisors (538772).

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

406480 is a wasteful number, since it uses less digits than its factorization.

406480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5094 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 406480 is about 637.5578405133. The cubic root of 406480 is about 74.0763759778.

The spelling of 406480 in words is "four hundred six thousand, four hundred eighty".