948411607 has 24 divisors (see below), whose sum is σ = 1139460480. Its totient is φ = 782290080.

The previous prime is 948411517. The next prime is 948411617. The reversal of 948411607 is 706114849.

It is not a de Polignac number, because 948411607 - 2¹¹ = 948409559 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 948411607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948411617) 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 23 ways as a sum of consecutive naturals, for example, 105358 + ... + 114004.

It is an arithmetic number, because the mean of its divisors is an integer number (47477520).

Almost surely, 2^948411607 is an apocalyptic number.

948411607 is a deficient number, since it is larger than the sum of its proper divisors (191048873).

948411607 is a wasteful number, since it uses less digits than its factorization.

948411607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8743 (or 8730 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 948411607 is about 30796.2920982381. The cubic root of 948411607 is about 982.4993840897.

The spelling of 948411607 in words is "nine hundred forty-eight million, four hundred eleven thousand, six hundred seven".