480893993 has 2 divisors, whose sum is σ = 480893994. Its totient is φ = 480893992.

The previous prime is 480893981. The next prime is 480893999. The reversal of 480893993 is 399398084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 408524944 + 72369049 = 20212^2 + 8507^2 .

It is a cyclic number.

It is not a de Polignac number, because 480893993 - 2⁸ = 480893737 is a prime.

It is a super-3 number, since 3×480893993³ (a number of 27 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (480893999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240446996 + 240446997.

It is an arithmetic number, because the mean of its divisors is an integer number (240446997).

Almost surely, 2^480893993 is an apocalyptic number.

It is an amenable number.

480893993 is a deficient number, since it is larger than the sum of its proper divisors (1).

480893993 is an equidigital number, since it uses as much as digits as its factorization.

480893993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1679616, while the sum is 53.

The square root of 480893993 is about 21929.2953147154. The cubic root of 480893993 is about 783.4593190251.

The spelling of 480893993 in words is "four hundred eighty million, eight hundred ninety-three thousand, nine hundred ninety-three".