406079973 has 66 divisors (see below), whose sum is σ = 685732166. Its totient is φ = 239030352.

The previous prime is 406079911. The next prime is 406079983. The reversal of 406079973 is 379970604.

It can be written as a sum of positive squares in only one way, i.e., 281132289 + 124947684 = 16767^2 + 11178^2 .

It is not a de Polignac number, because 406079973 - 2⁸ = 406079717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406079903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 17655640 + ... + 17655662.

Almost surely, 2^406079973 is an apocalyptic number.

It is an amenable number.

406079973 is a deficient number, since it is larger than the sum of its proper divisors (279652193).

406079973 is an frugal number, since it uses more digits than its factorization.

406079973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 406079973 is about 20151.4260785682. The cubic root of 406079973 is about 740.5206787210.

The spelling of 406079973 in words is "four hundred six million, seventy-nine thousand, nine hundred seventy-three".