480097101 has 64 divisors (see below), whose sum is σ = 756449280. Its totient is φ = 267960000.

The previous prime is 480097097. The next prime is 480097109. The reversal of 480097101 is 101790084.

It is not a de Polignac number, because 480097101 - 2² = 480097097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480097109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3179376 + ... + 3179526.

It is an arithmetic number, because the mean of its divisors is an integer number (11819520).

Almost surely, 2^480097101 is an apocalyptic number.

It is an amenable number.

480097101 is a deficient number, since it is larger than the sum of its proper divisors (276352179).

480097101 is a wasteful number, since it uses less digits than its factorization.

480097101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318.

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 480097101 is about 21911.1182051487. The cubic root of 480097101 is about 783.0263215577.

The spelling of 480097101 in words is "four hundred eighty million, ninety-seven thousand, one hundred one".