120480360 has 512 divisors, whose sum is σ = 522547200. Its totient is φ = 21381120.

The previous prime is 120480341. The next prime is 120480361. The reversal of 120480360 is 63084021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 120480360.

It is not an unprimeable number, because it can be changed into a prime (120480361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2042011 + ... + 2042069.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 2^120480360 is an apocalyptic number.

120480360 is a gapful number since it is divisible by the number (10) 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 120480360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261273600).

120480360 is an abundant number, since it is smaller than the sum of its proper divisors (402066840).

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

120480360 is a wasteful number, since it uses less digits than its factorization.

120480360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 120480360 is about 10976.3545861092. The cubic root of 120480360 is about 493.8996884183.

The spelling of 120480360 in words is "one hundred twenty million, four hundred eighty thousand, three hundred sixty".