966454272 has 264 divisors, whose sum is σ = 3249522432. Its totient is φ = 270950400.

The previous prime is 966454271. The next prime is 966454303. The reversal of 966454272 is 272454669.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (725760) is a multiple of the sum of its prime factors (315).

It is not an unprimeable number, because it can be changed into a prime (966454271) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4580247 + ... + 4580457.

Almost surely, 2^966454272 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 966454272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624761216).

966454272 is an abundant number, since it is smaller than the sum of its proper divisors (2283068160).

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

966454272 is a wasteful number, since it uses less digits than its factorization.

966454272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 294 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 966454272 is about 31087.8476578872. The cubic root of 966454272 is about 988.6906719229.

It can be divided in two parts, 9664 and 54272, that added together give a palindrome (63936).

The spelling of 966454272 in words is "nine hundred sixty-six million, four hundred fifty-four thousand, two hundred seventy-two".