961044480 has 448 divisors, whose sum is σ = 3774643200. Its totient is φ = 230031360.

The previous prime is 961044473. The next prime is 961044503. The reversal of 961044480 is 84440169.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12165081 + ... + 12165159.

Almost surely, 2^961044480 is an apocalyptic number.

961044480 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 961044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887321600).

961044480 is an abundant number, since it is smaller than the sum of its proper divisors (2813598720).

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

961044480 is a wasteful number, since it uses less digits than its factorization.

961044480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 100 counting only the distinct ones).

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

The square root of 961044480 is about 31000.7174110536. The cubic root of 961044480 is about 986.8424652260.

The spelling of 961044480 in words is "nine hundred sixty-one million, forty-four thousand, four hundred eighty".