404973 has 16 divisors (see below), whose sum is σ = 613440. Its totient is φ = 263952.

The previous prime is 404969. The next prime is 404977. The reversal of 404973 is 379404.

It is an interprime number because it is at equal distance from previous prime (404969) and next prime (404977).

It is not a de Polignac number, because 404973 - 2² = 404969 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1290 + ... + 1572.

It is an arithmetic number, because the mean of its divisors is an integer number (38340).

2⁴⁰⁴⁹⁷³ is an apocalyptic number.

It is an amenable number.

404973 is a deficient number, since it is larger than the sum of its proper divisors (208467).

404973 is a wasteful number, since it uses less digits than its factorization.

With its successor (404974) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (339).

404973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 404973 is about 636.3748895109. The cubic root of 404973 is about 73.9847180520.

The spelling of 404973 in words is "four hundred four thousand, nine hundred seventy-three".