481759201 has 12 divisors (see below), whose sum is σ = 605186176. Its totient is φ = 375396120.

The previous prime is 481759171. The next prime is 481759207. The reversal of 481759201 is 102957184.

It is not a de Polignac number, because 481759201 - 2⁵ = 481759169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (481759207) 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 11 ways as a sum of consecutive naturals, for example, 283545 + ... + 285238.

Almost surely, 2^481759201 is an apocalyptic number.

It is an amenable number.

481759201 is a deficient number, since it is larger than the sum of its proper divisors (123426975).

481759201 is a wasteful number, since it uses less digits than its factorization.

481759201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568812 (or 568801 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 481759201 is about 21949.0136680444. The cubic root of 481759201 is about 783.9288952460.

The spelling of 481759201 in words is "four hundred eighty-one million, seven hundred fifty-nine thousand, two hundred one".