406313953 has 8 divisors (see below), whose sum is σ = 414282600. Its totient is φ = 398356608.

The previous prime is 406313939. The next prime is 406314047. The reversal of 406313953 is 359313604.

It can be written as a sum of positive squares in 4 ways, for example, as 60093504 + 346220449 = 7752^2 + 18607^2 .

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 406313953 - 2⁹ = 406313441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406313903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125013 + ... + 128221.

It is an arithmetic number, because the mean of its divisors is an integer number (51785325).

Almost surely, 2^406313953 is an apocalyptic number.

It is an amenable number.

406313953 is a deficient number, since it is larger than the sum of its proper divisors (7968647).

406313953 is a wasteful number, since it uses less digits than its factorization.

406313953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5651.

The product of its (nonzero) digits is 29160, while the sum is 34.

The square root of 406313953 is about 20157.2307869906. The cubic root of 406313953 is about 740.6628787573.

The spelling of 406313953 in words is "four hundred six million, three hundred thirteen thousand, nine hundred fifty-three".