48264120 has 256 divisors, whose sum is σ = 176256000. Its totient is φ = 11708928.

The previous prime is 48264109. The next prime is 48264121. The reversal of 48264120 is 2146284.

48264120 is a `hidden beast` number, since 482 + 64 + 120 = 666.

48264120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48264121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 720327 + ... + 720393.

It is an arithmetic number, because the mean of its divisors is an integer number (688500).

Almost surely, 2^48264120 is an apocalyptic number.

48264120 is a gapful number since it is divisible by the number (40) 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 48264120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88128000).

48264120 is an abundant number, since it is smaller than the sum of its proper divisors (127991880).

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

48264120 is a wasteful number, since it uses less digits than its factorization.

48264120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48264120 is about 6947.2383002169. The cubic root of 48264120 is about 364.0894800748.

It can be divided in two parts, 48264 and 120, that added together give a palindrome (48384).

The spelling of 48264120 in words is "forty-eight million, two hundred sixty-four thousand, one hundred twenty".