949895856 has 320 divisors, whose sum is σ = 3412003840. Its totient is φ = 246343680.

The previous prime is 949895827. The next prime is 949895873. The reversal of 949895856 is 658598949.

949895856 is a `hidden beast` number, since 9 + 49 + 8 + 9 + 585 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 949895793 and 949895802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2869611 + ... + 2869941.

It is an arithmetic number, because the mean of its divisors is an integer number (10662512).

Almost surely, 2^949895856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 949895856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706001920).

949895856 is an abundant number, since it is smaller than the sum of its proper divisors (2462107984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

949895856 is a wasteful number, since it uses less digits than its factorization.

949895856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 429 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 63.

The square root of 949895856 is about 30820.3805297728. The cubic root of 949895856 is about 983.0116488959.

The spelling of 949895856 in words is "nine hundred forty-nine million, eight hundred ninety-five thousand, eight hundred fifty-six".