960480 has 144 divisors (see below), whose sum is σ = 3538080. Its totient is φ = 236544.

The previous prime is 960467. The next prime is 960493. The reversal of 960480 is 84069.

It is an interprime number because it is at equal distance from previous prime (960467) and next prime (960493).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

960480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33106 + ... + 33134.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2⁹⁶⁰⁴⁸⁰ is an apocalyptic number.

960480 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 960480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769040).

960480 is an abundant number, since it is smaller than the sum of its proper divisors (2577600).

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

960480 is a wasteful number, since it uses less digits than its factorization.

960480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 960480 is about 980.0408154766. The cubic root of 960480 is about 98.6649216476.

The spelling of 960480 in words is "nine hundred sixty thousand, four hundred eighty".