120480 has 48 divisors (see below), whose sum is σ = 381024. Its totient is φ = 32000.

The previous prime is 120473. The next prime is 120503. The reversal of 120480 is 84021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 355 + ... + 605.

It is an arithmetic number, because the mean of its divisors is an integer number (7938).

2¹²⁰⁴⁸⁰ is an apocalyptic number.

120480 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 120480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190512).

120480 is an abundant number, since it is smaller than the sum of its proper divisors (260544).

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

120480 is a wasteful number, since it uses less digits than its factorization.

120480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 120480 is about 347.1022903987. The cubic root of 120480 is about 49.3899196487.

It can be divided in two parts, 120 and 480, that multiplied together give a square (57600 = 240²).

The spelling of 120480 in words is "one hundred twenty thousand, four hundred eighty".