48314880 has 200 divisors, whose sum is σ = 173791332. Its totient is φ = 12828672.

The previous prime is 48314879. The next prime is 48314897. The reversal of 48314880 is 8841384.

It can be written as a sum of positive squares in 2 ways, for example, as 45805824 + 2509056 = 6768^2 + 1584^2 .

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

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207244 + ... + 207476.

Almost surely, 2^48314880 is an apocalyptic number.

48314880 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 48314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86895666).

48314880 is an abundant number, since it is smaller than the sum of its proper divisors (125476452).

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

48314880 is an equidigital number, since it uses as much as digits as its factorization.

48314880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 48314880 is about 6950.8905904208. The cubic root of 48314880 is about 364.2170745613.

It can be divided in two parts, 48314 and 880, that added together give a palindrome (49194).

The spelling of 48314880 in words is "forty-eight million, three hundred fourteen thousand, eight hundred eighty".