949468806 has 192 divisors, whose sum is σ = 2544482304. Its totient is φ = 251942400.

The previous prime is 949468799. The next prime is 949468813. The reversal of 949468806 is 608864949.

949468806 = 488² + 489² + ... + 1436².

It is an interprime number because it is at equal distance from previous prime (949468799) and next prime (949468813).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5824881 + ... + 5825043.

It is an arithmetic number, because the mean of its divisors is an integer number (13252512).

Almost surely, 2^949468806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 949468806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272241152).

949468806 is an abundant number, since it is smaller than the sum of its proper divisors (1595013498).

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

949468806 is a wasteful number, since it uses less digits than its factorization.

949468806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 949468806 is about 30813.4517053835. The cubic root of 949468806 is about 982.8643141301.

The spelling of 949468806 in words is "nine hundred forty-nine million, four hundred sixty-eight thousand, eight hundred six".