120384784 has 45 divisors (see below), whose sum is σ = 253770309. Its totient is φ = 55298880.

The previous prime is 120384767. The next prime is 120384827. The reversal of 120384784 is 487483021.

The square root of 120384784 is 10972.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17808400 + 102576384 = 4220^2 + 10128^2 .

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 8 ways as a sum of consecutive naturals, for example, 570439 + ... + 570649.

Almost surely, 2^120384784 is an apocalyptic number.

120384784 is the 10972-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120384784

120384784 is an abundant number, since it is smaller than the sum of its proper divisors (133385525).

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

120384784 is an equidigital number, since it uses as much as digits as its factorization.

120384784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The cubic root of 120384784 is about 493.7690517885.

The spelling of 120384784 in words is "one hundred twenty million, three hundred eighty-four thousand, seven hundred eighty-four".