120465504 has 144 divisors (see below), whose sum is σ = 359783424. Its totient is φ = 38188800.

The previous prime is 120465493. The next prime is 120465523. The reversal of 120465504 is 405564021.

120465504 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 655 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 919519 + ... + 919649.

It is an arithmetic number, because the mean of its divisors is an integer number (2498496).

Almost surely, 2^120465504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120465504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179891712).

120465504 is an abundant number, since it is smaller than the sum of its proper divisors (239317920).

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

120465504 is a wasteful number, since it uses less digits than its factorization.

120465504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 120465504 is about 10975.6778378376. The cubic root of 120465504 is about 493.8793872522.

The spelling of 120465504 in words is "one hundred twenty million, four hundred sixty-five thousand, five hundred four".