480905045 has 16 divisors (see below), whose sum is σ = 604730880. Its totient is φ = 366436224.

The previous prime is 480905041. The next prime is 480905069. The reversal of 480905045 is 540509084.

It is a cyclic number.

It is not a de Polignac number, because 480905045 - 2² = 480905041 is a prime.

It is a super-3 number, since 3×480905045³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480904996 and 480905014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480905041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18737 + ... + 36233.

It is an arithmetic number, because the mean of its divisors is an integer number (37795680).

Almost surely, 2^480905045 is an apocalyptic number.

It is an amenable number.

480905045 is a deficient number, since it is larger than the sum of its proper divisors (123825835).

480905045 is a wasteful number, since it uses less digits than its factorization.

480905045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17764.

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 480905045 is about 21929.5473049491. The cubic root of 480905045 is about 783.4653208509.

It can be divided in two parts, 48090 and 5045, that added together give a palindrome (53135).

The spelling of 480905045 in words is "four hundred eighty million, nine hundred five thousand, forty-five".