966447972 has 108 divisors (see below), whose sum is σ = 2861667900. Its totient is φ = 274200192.

The previous prime is 966447959. The next prime is 966448003. The reversal of 966447972 is 279744669.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 427000896 + 539447076 = 20664^2 + 23226^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 260998 + ... + 264674.

It is an arithmetic number, because the mean of its divisors is an integer number (26496925).

Almost surely, 2^966447972 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 966447972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430833950).

966447972 is an abundant number, since it is smaller than the sum of its proper divisors (1895219928).

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

966447972 is a wasteful number, since it uses less digits than its factorization.

966447972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3850 (or 3838 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 966447972 is about 31087.7463319553. The cubic root of 966447972 is about 988.6885236009.

The spelling of 966447972 in words is "nine hundred sixty-six million, four hundred forty-seven thousand, nine hundred seventy-two".