406313441 has 2 divisors, whose sum is σ = 406313442. Its totient is φ = 406313440.

The previous prime is 406313419. The next prime is 406313489. The reversal of 406313441 is 144313604.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 396169216 + 10144225 = 19904^2 + 3185^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-406313441 is a prime.

It is a super-2 number, since 2×406313441² = 330181224674520962, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 406313441.

It is not a weakly prime, because it can be changed into another prime (406312441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203156720 + 203156721.

It is an arithmetic number, because the mean of its divisors is an integer number (203156721).

Almost surely, 2^406313441 is an apocalyptic number.

It is an amenable number.

406313441 is a deficient number, since it is larger than the sum of its proper divisors (1).

406313441 is an equidigital number, since it uses as much as digits as its factorization.

406313441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 406313441 is about 20157.2180868293. The cubic root of 406313441 is about 740.6625676517.

The spelling of 406313441 in words is "four hundred six million, three hundred thirteen thousand, four hundred forty-one".