480948401 has 2 divisors, whose sum is σ = 480948402. Its totient is φ = 480948400.

The previous prime is 480948367. The next prime is 480948427. The reversal of 480948401 is 104849084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 412902400 + 68046001 = 20320^2 + 8249^2 .

It is a cyclic number.

It is not a de Polignac number, because 480948401 - 2¹⁸ = 480686257 is a prime.

It is a super-3 number, since 3×480948401³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (480941401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240474200 + 240474201.

It is an arithmetic number, because the mean of its divisors is an integer number (240474201).

Almost surely, 2^480948401 is an apocalyptic number.

It is an amenable number.

480948401 is a deficient number, since it is larger than the sum of its proper divisors (1).

480948401 is an equidigital number, since it uses as much as digits as its factorization.

480948401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 480948401 is about 21930.5358119678. The cubic root of 480948401 is about 783.4888645852.

The spelling of 480948401 in words is "four hundred eighty million, nine hundred forty-eight thousand, four hundred one".