414460481 has 2 divisors, whose sum is σ = 414460482. Its totient is φ = 414460480.

The previous prime is 414460463. The next prime is 414460499. The reversal of 414460481 is 184064414.

It is a balanced prime because it is at equal distance from previous prime (414460463) and next prime (414460499).

It can be written as a sum of positive squares in only one way, i.e., 388287025 + 26173456 = 19705^2 + 5116^2 .

It is a cyclic number.

It is not a de Polignac number, because 414460481 - 2¹⁴ = 414444097 is a prime.

It is a super-2 number, since 2×414460481² = 343554980621502722, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (414460411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207230240 + 207230241.

It is an arithmetic number, because the mean of its divisors is an integer number (207230241).

Almost surely, 2^414460481 is an apocalyptic number.

It is an amenable number.

414460481 is a deficient number, since it is larger than the sum of its proper divisors (1).

414460481 is an equidigital number, since it uses as much as digits as its factorization.

414460481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 414460481 is about 20358.3025078222. The cubic root of 414460481 is about 745.5802161405.

The spelling of 414460481 in words is "four hundred fourteen million, four hundred sixty thousand, four hundred eighty-one".