480446801 has 2 divisors, whose sum is σ = 480446802. Its totient is φ = 480446800.

The previous prime is 480446779. The next prime is 480446803. The reversal of 480446801 is 108644084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 461218576 + 19228225 = 21476^2 + 4385^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-480446801 is a prime.

It is a super-2 number, since 2×480446801² = 461658257182267202, which contains 22 as substring.

Together with 480446803, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (480446803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240223400 + 240223401.

It is an arithmetic number, because the mean of its divisors is an integer number (240223401).

Almost surely, 2^480446801 is an apocalyptic number.

It is an amenable number.

480446801 is a deficient number, since it is larger than the sum of its proper divisors (1).

480446801 is an equidigital number, since it uses as much as digits as its factorization.

480446801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 480446801 is about 21919.0967195275. The cubic root of 480446801 is about 783.2163927239.

It can be divided in two parts, 48044 and 6801, that added together give a palindrome (54845).

The spelling of 480446801 in words is "four hundred eighty million, four hundred forty-six thousand, eight hundred one".