416465006281 has 9 divisors (see below), whose sum is σ = 420865981941. Its totient is φ = 412109599872.

The previous prime is 416465006267. The next prime is 416465006303. The reversal of 416465006281 is 182600564614.

The square root of 416465006281 is 645341.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 164762116281 + 251702890000 = 405909^2 + 501700^2 .

It is not a de Polignac number, because 416465006281 - 2²¹ = 416462909129 is a prime.

It is a super-2 number, since 2×416465006281² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416465006201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 62594751 + ... + 62601403.

Almost surely, 2^416465006281 is an apocalyptic number.

416465006281 is the 645341-st square number.

416465006281 is the 322671-st centered octagonal number.

It is an amenable number.

416465006281 is a deficient number, since it is larger than the sum of its proper divisors (4400975660).

416465006281 is an frugal number, since it uses more digits than its factorization.

416465006281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13500 (or 6750 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 416465006281 in words is "four hundred sixteen billion, four hundred sixty-five million, six thousand, two hundred eighty-one".