406476 has 36 divisors (see below), whose sum is σ = 1174992. Its totient is φ = 116064.

The previous prime is 406447. The next prime is 406481. The reversal of 406476 is 674604.

It is a tau number, because it is divible by the number of its divisors (36).

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 406476.

It is an unprimeable number.

406476 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 11 ways as a sum of consecutive naturals, for example, 555 + ... + 1058.

2⁴⁰⁶⁴⁷⁶ is an apocalyptic number.

It is an amenable number.

406476 is an abundant number, since it is smaller than the sum of its proper divisors (768516).

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

406476 is a wasteful number, since it uses less digits than its factorization.

406476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 406476 is about 637.5547035353. The cubic root of 406476 is about 74.0761329922.

The spelling of 406476 in words is "four hundred six thousand, four hundred seventy-six".