48741280 has 72 divisors (see below), whose sum is σ = 133973028. Its totient is φ = 16708608.

The previous prime is 48741223. The next prime is 48741281. The reversal of 48741280 is 8214784.

It can be written as a sum of positive squares in 2 ways, for example, as 48608784 + 132496 = 6972^2 + 364^2 .

It is not an unprimeable number, because it can be changed into a prime (48741281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4732 + ... + 10948.

Almost surely, 2^48741280 is an apocalyptic number.

48741280 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 48741280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66986514).

48741280 is an abundant number, since it is smaller than the sum of its proper divisors (85231748).

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

48741280 is a wasteful number, since it uses less digits than its factorization.

48741280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6246 (or 6231 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 48741280 is about 6981.4955417876. The cubic root of 48741280 is about 365.2853963541.

The spelling of 48741280 in words is "forty-eight million, seven hundred forty-one thousand, two hundred eighty".