964536480 has 432 divisors, whose sum is σ = 3688979112. Its totient is φ = 228556800.

The previous prime is 964536427. The next prime is 964536481. The reversal of 964536480 is 84635469.

964536480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 658846224 + 305690256 = 25668^2 + 17484^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (964536481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23525260 + ... + 23525300.

Almost surely, 2^964536480 is an apocalyptic number.

964536480 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 964536480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844489556).

964536480 is an abundant number, since it is smaller than the sum of its proper divisors (2724442632).

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

964536480 is a wasteful number, since it uses less digits than its factorization.

964536480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 964536480 is about 31056.9876195358. The cubic root of 964536480 is about 988.0362665418.

The spelling of 964536480 in words is "nine hundred sixty-four million, five hundred thirty-six thousand, four hundred eighty".