48012800 has 180 divisors, whose sum is σ = 134970528. Its totient is φ = 16896000.

The previous prime is 48012787. The next prime is 48012841. The reversal of 48012800 is 821084.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1548785 + ... + 1548815.

Almost surely, 2^48012800 is an apocalyptic number.

48012800 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 48012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67485264).

48012800 is an abundant number, since it is smaller than the sum of its proper divisors (86957728).

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

48012800 is a wasteful number, since it uses less digits than its factorization.

48012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 48012800 is about 6929.1269291304. The cubic root of 48012800 is about 363.4564200614.

Adding to 48012800 its reverse (821084), we get a palindrome (48833884).

The spelling of 48012800 in words is "forty-eight million, twelve thousand, eight hundred".