48418920 has 96 divisors (see below), whose sum is σ = 171681120. Its totient is φ = 11736960.

The previous prime is 48418919. The next prime is 48418921. The reversal of 48418920 is 2981484.

It is an interprime number because it is at equal distance from previous prime (48418919) and next prime (48418921).

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

It is not an unprimeable number, because it can be changed into a prime (48418921) by changing a digit.

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, 2154 + ... + 10073.

It is an arithmetic number, because the mean of its divisors is an integer number (1788345).

Almost surely, 2^48418920 is an apocalyptic number.

48418920 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 48418920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85840560).

48418920 is an abundant number, since it is smaller than the sum of its proper divisors (123262200).

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

48418920 is a wasteful number, since it uses less digits than its factorization.

48418920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12255 (or 12248 counting only the distinct ones).

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

The square root of 48418920 is about 6958.3704989027. The cubic root of 48418920 is about 364.4783189755.

The spelling of 48418920 in words is "forty-eight million, four hundred eighteen thousand, nine hundred twenty".