400766441 has 2 divisors, whose sum is σ = 400766442. Its totient is φ = 400766440.

The previous prime is 400766393. The next prime is 400766473. The reversal of 400766441 is 144667004.

It is an a-pointer prime, because the next prime (400766473) can be obtained adding 400766441 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 242736400 + 158030041 = 15580^2 + 12571^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-400766441 is a prime.

It is a super-2 number, since 2×400766441² = 321227480463612962, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 400766398 and 400766407.

It is not a weakly prime, because it can be changed into another prime (400766141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200383220 + 200383221.

It is an arithmetic number, because the mean of its divisors is an integer number (200383221).

Almost surely, 2^400766441 is an apocalyptic number.

It is an amenable number.

400766441 is a deficient number, since it is larger than the sum of its proper divisors (1).

400766441 is an equidigital number, since it uses as much as digits as its factorization.

400766441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 400766441 is about 20019.1518551611. The cubic root of 400766441 is about 737.2765982734.

The spelling of 400766441 in words is "four hundred million, seven hundred sixty-six thousand, four hundred forty-one".