481814401 has 2 divisors, whose sum is σ = 481814402. Its totient is φ = 481814400.

The previous prime is 481814387. The next prime is 481814413. The reversal of 481814401 is 104418184.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 263218176 + 218596225 = 16224^2 + 14785^2 .

It is a cyclic number.

It is not a de Polignac number, because 481814401 - 2¹³ = 481806209 is a prime.

It is equal to p_25447153 and since 481814401 and 25447153 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (481814461) 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, 240907200 + 240907201.

It is an arithmetic number, because the mean of its divisors is an integer number (240907201).

Almost surely, 2^481814401 is an apocalyptic number.

It is an amenable number.

481814401 is a deficient number, since it is larger than the sum of its proper divisors (1).

481814401 is an equidigital number, since it uses as much as digits as its factorization.

481814401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 481814401 is about 21950.2710917200. The cubic root of 481814401 is about 783.9588349768.

The spelling of 481814401 in words is "four hundred eighty-one million, eight hundred fourteen thousand, four hundred one".