407673 has 20 divisors (see below), whose sum is σ = 696960. Its totient is φ = 232632.

The previous prime is 407669. The next prime is 407699. The reversal of 407673 is 376704.

It is not a de Polignac number, because 407673 - 2² = 407669 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

407673 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (407633) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 208 + ... + 926.

It is an arithmetic number, because the mean of its divisors is an integer number (34848).

2⁴⁰⁷⁶⁷³ is an apocalyptic number.

It is an amenable number.

407673 is a deficient number, since it is larger than the sum of its proper divisors (289287).

407673 is an equidigital number, since it uses as much as digits as its factorization.

407673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 407673 is about 638.4927564194. The cubic root of 407673 is about 74.1487754401.

The spelling of 407673 in words is "four hundred seven thousand, six hundred seventy-three".