470320268401 has 9 divisors (see below), whose sum is σ = 476403928203. Its totient is φ = 464313354960.

The previous prime is 470320268399. The next prime is 470320268413. The reversal of 470320268401 is 104862023074.

The square root of 470320268401 is 685799.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 387629514801 + 82690753600 = 622599^2 + 287560^2 .

It is not a de Polignac number, because 470320268401 - 2¹ = 470320268399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (470320268491) 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 8 ways as a sum of consecutive naturals, for example, 54173781 + ... + 54182461.

Almost surely, 2^470320268401 is an apocalyptic number.

470320268401 is the 685799-th square number.

470320268401 is the 342900-th centered octagonal number.

It is an amenable number.

470320268401 is a deficient number, since it is larger than the sum of its proper divisors (6083659802).

470320268401 is an frugal number, since it uses more digits than its factorization.

470320268401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17520 (or 8760 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 470320268401 in words is "four hundred seventy billion, three hundred twenty million, two hundred sixty-eight thousand, four hundred one".