120306480 has 160 divisors (see below), whose sum is σ = 448780800. Its totient is φ = 26044416.

The previous prime is 120306479. The next prime is 120306509. The reversal of 120306480 is 84603021.

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 120306480.

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, 30036 + ... + 33804.

It is an arithmetic number, because the mean of its divisors is an integer number (2804880).

Almost surely, 2^120306480 is an apocalyptic number.

120306480 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 120306480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224390400).

120306480 is an abundant number, since it is smaller than the sum of its proper divisors (328474320).

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

120306480 is a wasteful number, since it uses less digits than its factorization.

120306480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3811 (or 3805 counting only the distinct ones).

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

The square root of 120306480 is about 10968.4310637392. The cubic root of 120306480 is about 493.6619715951.

It can be divided in two parts, 120306 and 480, that added together give a triangular number (120786 = T₄₉₁).

The spelling of 120306480 in words is "one hundred twenty million, three hundred six thousand, four hundred eighty".