49848120 has 192 divisors, whose sum is σ = 187799040. Its totient is φ = 11232000.

The previous prime is 49848109. The next prime is 49848133. The reversal of 49848120 is 2184894.

49848120 is a `hidden beast` number, since 498 + 48 + 120 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330045 + ... + 330195.

It is an arithmetic number, because the mean of its divisors is an integer number (978120).

Almost surely, 2^49848120 is an apocalyptic number.

49848120 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 49848120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93899520).

49848120 is an abundant number, since it is smaller than the sum of its proper divisors (137950920).

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

49848120 is a wasteful number, since it uses less digits than its factorization.

49848120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 299 counting only the distinct ones).

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

The square root of 49848120 is about 7060.3201060575. The cubic root of 49848120 is about 368.0297510604.

It can be divided in two parts, 498481 and 20, that added together give a triangular number (498501 = T₉₉₈).

The spelling of 49848120 in words is "forty-nine million, eight hundred forty-eight thousand, one hundred twenty".