48575120 has 120 divisors (see below), whose sum is σ = 131563008. Its totient is φ = 16537600.

The previous prime is 48575101. The next prime is 48575129. The reversal of 48575120 is 2157584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48575129) 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, 254225 + ... + 254415.

Almost surely, 2^48575120 is an apocalyptic number.

48575120 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 48575120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65781504).

48575120 is an abundant number, since it is smaller than the sum of its proper divisors (82987888).

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

48575120 is a wasteful number, since it uses less digits than its factorization.

48575120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 48575120 is about 6969.5853535200. The cubic root of 48575120 is about 364.8698353657.

The spelling of 48575120 in words is "forty-eight million, five hundred seventy-five thousand, one hundred twenty".