956440716 has 192 divisors, whose sum is σ = 2879815680. Its totient is φ = 239904000.

The previous prime is 956440691. The next prime is 956440729. The reversal of 956440716 is 617044659.

956440716 is a nontrivial binomial coefficient, being equal to C(43737, 2).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4001725 + ... + 4001963.

It is an arithmetic number, because the mean of its divisors is an integer number (14999040).

Almost surely, 2^956440716 is an apocalyptic number.

956440716 is the 43736-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 956440716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439907840).

956440716 is an abundant number, since it is smaller than the sum of its proper divisors (1923374964).

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

956440716 is a wasteful number, since it uses less digits than its factorization.

956440716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 956440716 is about 30926.3757333445. The cubic root of 956440716 is about 985.2641602995.

The spelling of 956440716 in words is "nine hundred fifty-six million, four hundred forty thousand, seven hundred sixteen".