401417281 has 2 divisors, whose sum is σ = 401417282. Its totient is φ = 401417280.

The previous prime is 401417279. The next prime is 401417287. The reversal of 401417281 is 182714104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 296149681 + 105267600 = 17209^2 + 10260^2 .

It is a cyclic number.

It is not a de Polignac number, because 401417281 - 2¹ = 401417279 is a prime.

It is a super-2 number, since 2×401417281² = 322271666970865922, which contains 22 as substring.

Together with 401417279, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (401417287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200708640 + 200708641.

It is an arithmetic number, because the mean of its divisors is an integer number (200708641).

Almost surely, 2^401417281 is an apocalyptic number.

401417281 is the 12672-nd centered pentagonal number.

It is an amenable number.

401417281 is a deficient number, since it is larger than the sum of its proper divisors (1).

401417281 is an equidigital number, since it uses as much as digits as its factorization.

401417281 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 401417281 is about 20035.4006947702. The cubic root of 401417281 is about 737.6754919347.

The spelling of 401417281 in words is "four hundred one million, four hundred seventeen thousand, two hundred eighty-one".