963312480 has 384 divisors, whose sum is σ = 3848342400. Its totient is φ = 222953472.

The previous prime is 963312443. The next prime is 963312481. The reversal of 963312480 is 84213369.

963312480 is a `hidden beast` number, since 9 + 633 + 12 + 4 + 8 + 0 = 666.

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 (963312481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 954216 + ... + 955224.

It is an arithmetic number, because the mean of its divisors is an integer number (10021725).

Almost surely, 2^963312480 is an apocalyptic number.

963312480 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 963312480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924171200).

963312480 is an abundant number, since it is smaller than the sum of its proper divisors (2885029920).

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

963312480 is a wasteful number, since it uses less digits than its factorization.

963312480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 963312480 is about 31037.2756536394. The cubic root of 963312480 is about 987.6181491920.

The spelling of 963312480 in words is "nine hundred sixty-three million, three hundred twelve thousand, four hundred eighty".