480613401 has 6 divisors (see below), whose sum is σ = 694219370. Its totient is φ = 320408928.

The previous prime is 480613349. The next prime is 480613403. The reversal of 480613401 is 104316084.

480613401 is a `hidden beast` number, since 4 + 8 + 0 + 613 + 40 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 474368400 + 6245001 = 21780^2 + 2499^2 .

It is not a de Polignac number, because 480613401 - 2⁹ = 480612889 is a prime.

It is a super-3 number, since 3×480613401³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (480613403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26700736 + ... + 26700753.

Almost surely, 2^480613401 is an apocalyptic number.

It is an amenable number.

480613401 is a deficient number, since it is larger than the sum of its proper divisors (213605969).

480613401 is a wasteful number, since it uses less digits than its factorization.

480613401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53401495 (or 53401492 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 480613401 is about 21922.8967292190. The cubic root of 480613401 is about 783.3069117792.

Adding to 480613401 its reverse (104316084), we get a palindrome (584929485).

The spelling of 480613401 in words is "four hundred eighty million, six hundred thirteen thousand, four hundred one".