401406417 has 6 divisors (see below), whose sum is σ = 579809282. Its totient is φ = 267604272.

The previous prime is 401406403. The next prime is 401406433. The reversal of 401406417 is 714604104.

401406417 is a `hidden beast` number, since 4 + 0 + 14 + 0 + 641 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 310852161 + 90554256 = 17631^2 + 9516^2 .

It is not a de Polignac number, because 401406417 - 2⁶ = 401406353 is a prime.

It is a super-4 number, since 4×401406417⁴ (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (401406437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22300348 + ... + 22300365.

Almost surely, 2^401406417 is an apocalyptic number.

It is an amenable number.

401406417 is a deficient number, since it is larger than the sum of its proper divisors (178402865).

401406417 is a wasteful number, since it uses less digits than its factorization.

401406417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44600719 (or 44600716 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 401406417 is about 20035.1295728278. The cubic root of 401406417 is about 737.6688370320.

The spelling of 401406417 in words is "four hundred one million, four hundred six thousand, four hundred seventeen".