400480400461 has 2 divisors, whose sum is σ = 400480400462. Its totient is φ = 400480400460.

The previous prime is 400480400431. The next prime is 400480400471. The reversal of 400480400461 is 164004084004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311687724100 + 88792676361 = 558290^2 + 297981^2 .

It is a cyclic number.

It is not a de Polignac number, because 400480400461 - 2¹³ = 400480392269 is a prime.

It is a super-3 number, since 3×400480400461³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400480400431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200240200230 + 200240200231.

It is an arithmetic number, because the mean of its divisors is an integer number (200240200231).

Almost surely, 2^400480400461 is an apocalyptic number.

It is an amenable number.

400480400461 is a deficient number, since it is larger than the sum of its proper divisors (1).

400480400461 is an equidigital number, since it uses as much as digits as its factorization.

400480400461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 400480400461 its reverse (164004084004), we get a palindrome (564484484465).

The spelling of 400480400461 in words is "four hundred billion, four hundred eighty million, four hundred thousand, four hundred sixty-one".