48420160 has 56 divisors (see below), whose sum is σ = 115900200. Its totient is φ = 19267584.

The previous prime is 48420157. The next prime is 48420167. The reversal of 48420160 is 6102484.

It can be written as a sum of positive squares in 4 ways, for example, as 3154176 + 45265984 = 1776^2 + 6728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48420167) 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 7 ways as a sum of consecutive naturals, for example, 107616 + ... + 108064.

Almost surely, 2^48420160 is an apocalyptic number.

48420160 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 48420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57950100).

48420160 is an abundant number, since it is smaller than the sum of its proper divisors (67480040).

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

48420160 is a wasteful number, since it uses less digits than its factorization.

48420160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 48420160 is about 6958.4595996528. The cubic root of 48420160 is about 364.4814303574.

The spelling of 48420160 in words is "forty-eight million, four hundred twenty thousand, one hundred sixty".