480632641 has 2 divisors, whose sum is σ = 480632642. Its totient is φ = 480632640.

The previous prime is 480632623. The next prime is 480632681. The reversal of 480632641 is 146236084.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 480530241 + 102400 = 21921^2 + 320^2 .

It is a cyclic number.

It is not a de Polignac number, because 480632641 - 2⁵ = 480632609 is a prime.

It is a super-3 number, since 3×480632641³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480632597 and 480632606.

It is not a weakly prime, because it can be changed into another prime (480632681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240316320 + 240316321.

It is an arithmetic number, because the mean of its divisors is an integer number (240316321).

Almost surely, 2^480632641 is an apocalyptic number.

It is an amenable number.

480632641 is a deficient number, since it is larger than the sum of its proper divisors (1).

480632641 is an equidigital number, since it uses as much as digits as its factorization.

480632641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 480632641 is about 21923.3355354517. The cubic root of 480632641 is about 783.3173641330.

The spelling of 480632641 in words is "four hundred eighty million, six hundred thirty-two thousand, six hundred forty-one".