480491993 has 2 divisors, whose sum is σ = 480491994. Its totient is φ = 480491992.

The previous prime is 480491989. The next prime is 480492037. The reversal of 480491993 is 399194084.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 431309824 + 49182169 = 20768^2 + 7013^2 .

It is a cyclic number.

It is not a de Polignac number, because 480491993 - 2² = 480491989 is a prime.

It is a super-2 number, since 2×480491993² = 461745110674224098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (480491903) 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 as a sum of consecutive naturals, namely, 240245996 + 240245997.

It is an arithmetic number, because the mean of its divisors is an integer number (240245997).

Almost surely, 2^480491993 is an apocalyptic number.

It is an amenable number.

480491993 is a deficient number, since it is larger than the sum of its proper divisors (1).

480491993 is an equidigital number, since it uses as much as digits as its factorization.

480491993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 279936, while the sum is 47.

The square root of 480491993 is about 21920.1275771835. The cubic root of 480491993 is about 783.2409490365.

The spelling of 480491993 in words is "four hundred eighty million, four hundred ninety-one thousand, nine hundred ninety-three".