108456480 has 288 divisors, whose sum is σ = 416078208. Its totient is φ = 25497600.

The previous prime is 108456463. The next prime is 108456511. The reversal of 108456480 is 84654801.

108456480 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 5 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 649357 + ... + 649523.

It is an arithmetic number, because the mean of its divisors is an integer number (1444716).

Almost surely, 2^108456480 is an apocalyptic number.

108456480 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 108456480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208039104).

108456480 is an abundant number, since it is smaller than the sum of its proper divisors (307621728).

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

108456480 is a wasteful number, since it uses less digits than its factorization.

108456480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 108456480 is about 10414.2440916276. The cubic root of 108456480 is about 476.8903140331.

The spelling of 108456480 in words is "one hundred eight million, four hundred fifty-six thousand, four hundred eighty".