481296385 has 8 divisors (see below), whose sum is σ = 577823400. Its totient is φ = 384858624.

The previous prime is 481296349. The next prime is 481296397. The reversal of 481296385 is 583692184.

It can be written as a sum of positive squares in 4 ways, for example, as 272118016 + 209178369 = 16496^2 + 14463^2 .

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 481296385 - 2¹¹ = 481294337 is a prime.

It is a super-3 number, since 3×481296385³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9810 + ... + 32539.

It is an arithmetic number, because the mean of its divisors is an integer number (72227925).

It is a Proth number, since it is equal to 459 ⋅ 2²⁰ + 1 and 459 < 2²⁰.

Almost surely, 2^481296385 is an apocalyptic number.

It is an amenable number.

481296385 is a deficient number, since it is larger than the sum of its proper divisors (96527015).

481296385 is a wasteful number, since it uses less digits than its factorization.

481296385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44627.

The product of its digits is 414720, while the sum is 46.

The square root of 481296385 is about 21938.4681552747. The cubic root of 481296385 is about 783.6777801109.

The spelling of 481296385 in words is "four hundred eighty-one million, two hundred ninety-six thousand, three hundred eighty-five".