400999993 has 2 divisors, whose sum is σ = 400999994. Its totient is φ = 400999992.

The previous prime is 400999957. The next prime is 400999999. The reversal of 400999993 is 399999004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203119504 + 197880489 = 14252^2 + 14067^2 .

It is a cyclic number.

It is not a de Polignac number, because 400999993 - 2¹⁷ = 400868921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 400999993.

It is not a weakly prime, because it can be changed into another prime (400999999) 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, 200499996 + 200499997.

It is an arithmetic number, because the mean of its divisors is an integer number (200499997).

Almost surely, 2^400999993 is an apocalyptic number.

It is an amenable number.

400999993 is a deficient number, since it is larger than the sum of its proper divisors (1).

400999993 is an equidigital number, since it uses as much as digits as its factorization.

400999993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 708588, while the sum is 52.

The square root of 400999993 is about 20024.9842197191. The cubic root of 400999993 is about 737.4197897254.

The spelling of 400999993 in words is "four hundred million, nine hundred ninety-nine thousand, nine hundred ninety-three".