48545280 has 360 divisors, whose sum is σ = 200123352. Its totient is φ = 10838016.

The previous prime is 48545267. The next prime is 48545281. The reversal of 48545280 is 8254584.

It is a tau number, because it is divible by the number of its divisors (360).

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 (48545281) 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 35 ways as a sum of consecutive naturals, for example, 1128939 + ... + 1128981.

Almost surely, 2^48545280 is an apocalyptic number.

48545280 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 48545280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100061676).

48545280 is an abundant number, since it is smaller than the sum of its proper divisors (151578072).

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

48545280 is a wasteful number, since it uses less digits than its factorization.

48545280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 48545280 is about 6967.4442947181. Note that the first 3 decimals coincide. The cubic root of 48545280 is about 364.7951061209.

The spelling of 48545280 in words is "forty-eight million, five hundred forty-five thousand, two hundred eighty".