120849408 has 220 divisors, whose sum is σ = 380447232. Its totient is φ = 38154240.

The previous prime is 120849403. The next prime is 120849431. The reversal of 120849408 is 804948021.

120849408 is a `hidden beast` number, since 1 + 208 + 49 + 408 = 666.

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 (120849401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2571241 + ... + 2571287.

Almost surely, 2^120849408 is an apocalyptic number.

120849408 is a gapful number since it is divisible by the number (18) 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 120849408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190223616).

120849408 is an abundant number, since it is smaller than the sum of its proper divisors (259597824).

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

120849408 is an equidigital number, since it uses as much as digits as its factorization.

120849408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 120849408 is about 10993.1527779796. The cubic root of 120849408 is about 494.4034687286.

The spelling of 120849408 in words is "one hundred twenty million, eight hundred forty-nine thousand, four hundred eight".