32400409 has 2 divisors, whose sum is σ = 32400410. Its totient is φ = 32400408.

The previous prime is 32400397. The next prime is 32400421. The reversal of 32400409 is 90400423.

It is a balanced prime because it is at equal distance from previous prime (32400397) and next prime (32400421).

It can be written as a sum of positive squares in only one way, i.e., 19114384 + 13286025 = 4372^2 + 3645^2 .

It is a cyclic number.

It is not a de Polignac number, because 32400409 - 2⁹ = 32399897 is a prime.

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 32400409.

It is not a weakly prime, because it can be changed into another prime (32400439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16200204 + 16200205.

It is an arithmetic number, because the mean of its divisors is an integer number (16200205).

Almost surely, 2^32400409 is an apocalyptic number.

It is an amenable number.

32400409 is a deficient number, since it is larger than the sum of its proper divisors (1).

32400409 is an equidigital number, since it uses as much as digits as its factorization.

32400409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 32400409 is about 5692.1357151776. The cubic root of 32400409 is about 318.7989121916.

The spelling of 32400409 in words is "thirty-two million, four hundred thousand, four hundred nine".