966463744 has 81 divisors (see below), whose sum is σ = 2028234117. Its totient is φ = 459604992.

The previous prime is 966463739. The next prime is 966463759. The reversal of 966463744 is 447364669.

The square root of 966463744 is 31088.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 506790144 + 459673600 = 22512^2 + 21440^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14424799 + ... + 14424865.

Almost surely, 2^966463744 is an apocalyptic number.

966463744 is the 31088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966463744

966463744 is an abundant number, since it is smaller than the sum of its proper divisors (1061770373).

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

966463744 is an frugal number, since it uses more digits than its factorization.

966463744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 98 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 49.

The cubic root of 966463744 is about 988.6939018903.

Multiplying 966463744 by its sum of digits (49), we get a square (47356723456 = 217616²).

The spelling of 966463744 in words is "nine hundred sixty-six million, four hundred sixty-three thousand, seven hundred forty-four".