400752193 has 2 divisors, whose sum is σ = 400752194. Its totient is φ = 400752192.

The previous prime is 400752167. The next prime is 400752197. The reversal of 400752193 is 391257004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 301091904 + 99660289 = 17352^2 + 9983^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-400752193 is a prime.

It is not a weakly prime, because it can be changed into another prime (400752197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200376096 + 200376097.

It is an arithmetic number, because the mean of its divisors is an integer number (200376097).

Almost surely, 2^400752193 is an apocalyptic number.

It is an amenable number.

400752193 is a deficient number, since it is larger than the sum of its proper divisors (1).

400752193 is an equidigital number, since it uses as much as digits as its factorization.

400752193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 400752193 is about 20018.7959927664. The cubic root of 400752193 is about 737.2678609804.

The spelling of 400752193 in words is "four hundred million, seven hundred fifty-two thousand, one hundred ninety-three".