480101 has 2 divisors, whose sum is σ = 480102. Its totient is φ = 480100.

The previous prime is 480091. The next prime is 480107. The reversal of 480101 is 101084.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 429025 + 51076 = 655^2 + 226^2 .

It is a cyclic number.

It is not a de Polignac number, because 480101 - 2¹⁴ = 463717 is a prime.

It is a Chen prime.

It is an Ulam number.

480101 is a modest number, since divided by 101 gives 48 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (480107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240050 + 240051.

It is an arithmetic number, because the mean of its divisors is an integer number (240051).

2⁴⁸⁰¹⁰¹ is an apocalyptic number.

It is an amenable number.

480101 is a deficient number, since it is larger than the sum of its proper divisors (1).

480101 is an equidigital number, since it uses as much as digits as its factorization.

480101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 480101 is about 692.8932096651. The cubic root of 480101 is about 78.3028441276.

Adding to 480101 its reverse (101084), we get a palindrome (581185).

The spelling of 480101 in words is "four hundred eighty thousand, one hundred one".