406007953 has 16 divisors (see below), whose sum is σ = 452578896. Its totient is φ = 361820160.

The previous prime is 406007929. The next prime is 406007971. The reversal of 406007953 is 359700604.

It can be written as a sum of positive squares in 8 ways, for example, as 218537089 + 187470864 = 14783^2 + 13692^2 .

It is not a de Polignac number, because 406007953 - 2¹⁷ = 405876881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406007653) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 47775 + ... + 55627.

It is an arithmetic number, because the mean of its divisors is an integer number (28286181).

Almost surely, 2^406007953 is an apocalyptic number.

It is an amenable number.

406007953 is a deficient number, since it is larger than the sum of its proper divisors (46570943).

406007953 is a wasteful number, since it uses less digits than its factorization.

406007953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8004.

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 406007953 is about 20149.6390290248. The cubic root of 406007953 is about 740.4768979749.

The spelling of 406007953 in words is "four hundred six million, seven thousand, nine hundred fifty-three".