840916401 has 16 divisors (see below), whose sum is σ = 1208133696. Its totient is φ = 517202496.

The previous prime is 840916381. The next prime is 840916487. The reversal of 840916401 is 104619048.

It is not a de Polignac number, because 840916401 - 2¹³ = 840908209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (840916201) 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 in 15 ways as a sum of consecutive naturals, for example, 82671 + ... + 92283.

It is an arithmetic number, because the mean of its divisors is an integer number (75508356).

Almost surely, 2^840916401 is an apocalyptic number.

It is an amenable number.

840916401 is a deficient number, since it is larger than the sum of its proper divisors (367217295).

840916401 is a wasteful number, since it uses less digits than its factorization.

840916401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11872.

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 840916401 is about 28998.5586021099. The cubic root of 840916401 is about 943.8817903697.

The spelling of 840916401 in words is "eight hundred forty million, nine hundred sixteen thousand, four hundred one".