961440480 has 1152 divisors, whose sum is σ = 4755179520. Its totient is φ = 170311680.

The previous prime is 961440461. The next prime is 961440481. The reversal of 961440480 is 84044169.

It is a happy number.

961440480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961440481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33153106 + ... + 33153134.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2^961440480 is an apocalyptic number.

961440480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377589760).

961440480 is an abundant number, since it is smaller than the sum of its proper divisors (3793739040).

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

961440480 is a wasteful number, since it uses less digits than its factorization.

961440480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 961440480 is about 31007.1037022164. The cubic root of 961440480 is about 986.9779899811.

The spelling of 961440480 in words is "nine hundred sixty-one million, four hundred forty thousand, four hundred eighty".