48059280 has 60 divisors (see below), whose sum is σ = 161401500. Its totient is φ = 12815616.

The previous prime is 48059273. The next prime is 48059281. The reversal of 48059280 is 8295084.

48059280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 23970816 + 24088464 = 4896^2 + 4908^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×48059280³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48059281) 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 11 ways as a sum of consecutive naturals, for example, 32655 + ... + 34094.

It is an arithmetic number, because the mean of its divisors is an integer number (2690025).

Almost surely, 2^48059280 is an apocalyptic number.

48059280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48059280 is an abundant number, since it is smaller than the sum of its proper divisors (113342220).

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

48059280 is a wasteful number, since it uses less digits than its factorization.

48059280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66768 (or 66759 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 48059280 is about 6932.4800757016. The cubic root of 48059280 is about 363.5736666148.

The spelling of 48059280 in words is "forty-eight million, fifty-nine thousand, two hundred eighty".