406672 has 20 divisors (see below), whose sum is σ = 900736. Its totient is φ = 174240.

The previous prime is 406661. The next prime is 406673. The reversal of 406672 is 276604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406673) by changing a digit.

406672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1704 + ... + 1927.

2⁴⁰⁶⁶⁷² is an apocalyptic number.

It is an amenable number.

406672 is an abundant number, since it is smaller than the sum of its proper divisors (494064).

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

406672 is a wasteful number, since it uses less digits than its factorization.

406672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 406672 is about 637.7083973102. The cubic root of 406672 is about 74.0880374171.

The spelling of 406672 in words is "four hundred six thousand, six hundred seventy-two".