407973 has 8 divisors (see below), whose sum is σ = 547200. Its totient is φ = 270368.

The previous prime is 407971. The next prime is 407977. The reversal of 407973 is 379704.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 407973 - 2¹ = 407971 is a prime.

407973 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 407973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 433 + ... + 1001.

It is an arithmetic number, because the mean of its divisors is an integer number (68400).

2⁴⁰⁷⁹⁷³ is an apocalyptic number.

It is an amenable number.

407973 is a deficient number, since it is larger than the sum of its proper divisors (139227).

407973 is a wasteful number, since it uses less digits than its factorization.

407973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811.

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 407973 is about 638.7276414874. The cubic root of 407973 is about 74.1669592773.

The spelling of 407973 in words is "four hundred seven thousand, nine hundred seventy-three".