407466 has 12 divisors (see below), whose sum is σ = 882882. Its totient is φ = 135816.

The previous prime is 407437. The next prime is 407471. The reversal of 407466 is 664704.

It can be written as a sum of positive squares in only one way, i.e., 378225 + 29241 = 615^2 + 171^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 407466.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11301 + ... + 11336.

2⁴⁰⁷⁴⁶⁶ is an apocalyptic number.

407466 is an abundant number, since it is smaller than the sum of its proper divisors (475416).

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

407466 is a wasteful number, since it uses less digits than its factorization.

407466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22645 (or 22642 counting only the distinct ones).

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

The square root of 407466 is about 638.3306353294. The cubic root of 407466 is about 74.1362233905.

The spelling of 407466 in words is "four hundred seven thousand, four hundred sixty-six".