120465792 has 112 divisors (see below), whose sum is σ = 360099780. Its totient is φ = 40124160.

The previous prime is 120465773. The next prime is 120465803. The reversal of 120465792 is 297564021.

120465792 is a `hidden beast` number, since 120 + 465 + 79 + 2 = 666.

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

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 13 ways as a sum of consecutive naturals, for example, 92667 + ... + 93957.

Almost surely, 2^120465792 is an apocalyptic number.

120465792 is a gapful number since it is divisible by the number (12) 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 120465792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180049890).

120465792 is an abundant number, since it is smaller than the sum of its proper divisors (239633988).

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

120465792 is an frugal number, since it uses more digits than its factorization.

120465792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 120465792 is about 10975.6909577484. The cubic root of 120465792 is about 493.8797808287.

The spelling of 120465792 in words is "one hundred twenty million, four hundred sixty-five thousand, seven hundred ninety-two".