481758601 has 9 divisors (see below), whose sum is σ = 493283149. Its totient is φ = 470498764.

The previous prime is 481758583. The next prime is 481758617. The reversal of 481758601 is 106857184.

The square root of 481758601 is 21949.

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

It is not a de Polignac number, because 481758601 - 2¹¹ = 481756553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (481758671) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1031370 + ... + 1031836.

Almost surely, 2^481758601 is an apocalyptic number.

481758601 is the 21949-th square number.

481758601 is the 10975-th centered octagonal number.

It is an amenable number.

481758601 is a deficient number, since it is larger than the sum of its proper divisors (11524548).

481758601 is an frugal number, since it uses more digits than its factorization.

481758601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The cubic root of 481758601 is about 783.9285698015.

The spelling of 481758601 in words is "four hundred eighty-one million, seven hundred fifty-eight thousand, six hundred one".