400199993 has 2 divisors, whose sum is σ = 400199994. Its totient is φ = 400199992.

The previous prime is 400199959. The next prime is 400200041. The reversal of 400199993 is 399991004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 265918249 + 134281744 = 16307^2 + 11588^2 .

It is a cyclic number.

It is not a de Polignac number, because 400199993 - 2¹² = 400195897 is a prime.

It is not a weakly prime, because it can be changed into another prime (400199923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200099996 + 200099997.

It is an arithmetic number, because the mean of its divisors is an integer number (200099997).

Almost surely, 2^400199993 is an apocalyptic number.

It is an amenable number.

400199993 is a deficient number, since it is larger than the sum of its proper divisors (1).

400199993 is an equidigital number, since it uses as much as digits as its factorization.

400199993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 78732, while the sum is 44.

The square root of 400199993 is about 20004.9992001999. Note that the first 3 decimals coincide. The cubic root of 400199993 is about 736.9290760203.

The spelling of 400199993 in words is "four hundred million, one hundred ninety-nine thousand, nine hundred ninety-three".