614400481 has 2 divisors, whose sum is σ = 614400482. Its totient is φ = 614400480.

The previous prime is 614400463. The next prime is 614400487. The reversal of 614400481 is 184004416.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 613008081 + 1392400 = 24759^2 + 1180^2 .

It is a cyclic number.

It is not a de Polignac number, because 614400481 - 2⁹ = 614399969 is a prime.

It is a super-2 number, since 2×614400481² = 754975902106062722, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (614400487) 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 as a sum of consecutive naturals, namely, 307200240 + 307200241.

It is an arithmetic number, because the mean of its divisors is an integer number (307200241).

Almost surely, 2^614400481 is an apocalyptic number.

It is an amenable number.

614400481 is a deficient number, since it is larger than the sum of its proper divisors (1).

614400481 is an equidigital number, since it uses as much as digits as its factorization.

614400481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 614400481 is about 24787.1031183557. The cubic root of 614400481 is about 850.1270771945.

Adding to 614400481 its reverse (184004416), we get a palindrome (798404897).

The spelling of 614400481 in words is "six hundred fourteen million, four hundred thousand, four hundred eighty-one".