406385281 has 9 divisors (see below), whose sum is σ = 429304323. Its totient is φ = 384633720.

The previous prime is 406385279. The next prime is 406385297. The reversal of 406385281 is 182583604.

It is a happy number.

The square root of 406385281 is 20159.

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

It can be written as a sum of positive squares in only one way, i.e., 267616881 + 138768400 = 16359^2 + 11780^2 .

It is not a de Polignac number, because 406385281 - 2¹ = 406385279 is a prime.

It is a super-2 number, since 2×406385281² = 330297993226897922, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 406385281.

It is not an unprimeable number, because it can be changed into a prime (406380281) 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, 382491 + ... + 383551.

Almost surely, 2^406385281 is an apocalyptic number.

406385281 is the 20159-th square number.

406385281 is the 10080-th centered octagonal number.

It is an amenable number.

406385281 is a deficient number, since it is larger than the sum of its proper divisors (22919042).

406385281 is an frugal number, since it uses more digits than its factorization.

406385281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The cubic root of 406385281 is about 740.7062170923.

The spelling of 406385281 in words is "four hundred six million, three hundred eighty-five thousand, two hundred eighty-one".