120458880 has 128 divisors (see below), whose sum is σ = 426686400. Its totient is φ = 32117760.

The previous prime is 120458851. The next prime is 120458881. The reversal of 120458880 is 88854021.

120458880 is a `hidden beast` number, since 120 + 458 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (120458881) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13795 + ... + 20765.

Almost surely, 2^120458880 is an apocalyptic number.

120458880 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 120458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213343200).

120458880 is an abundant number, since it is smaller than the sum of its proper divisors (306227520).

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

120458880 is an equidigital number, since it uses as much as digits as its factorization.

120458880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6999 (or 6981 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 120458880 is about 10975.3760755611. The cubic root of 120458880 is about 493.8703348211.

The spelling of 120458880 in words is "one hundred twenty million, four hundred fifty-eight thousand, eight hundred eighty".