480064001 has 2 divisors, whose sum is σ = 480064002. Its totient is φ = 480064000.

The previous prime is 480063977. The next prime is 480064019. The reversal of 480064001 is 100460084.

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., 392079601 + 87984400 = 19801^2 + 9380^2 .

It is a cyclic number.

It is not a de Polignac number, because 480064001 - 2¹⁰ = 480062977 is a prime.

It is a super-2 number, since 2×480064001² = 460922890112256002, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (480064021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240032000 + 240032001.

It is an arithmetic number, because the mean of its divisors is an integer number (240032001).

Almost surely, 2^480064001 is an apocalyptic number.

It is an amenable number.

480064001 is a deficient number, since it is larger than the sum of its proper divisors (1).

480064001 is an equidigital number, since it uses as much as digits as its factorization.

480064001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 480064001 is about 21910.3628678304. The cubic root of 480064001 is about 783.0083260544.

The spelling of 480064001 in words is "four hundred eighty million, sixty-four thousand, one".