48820800 has 168 divisors, whose sum is σ = 183180736. Its totient is φ = 11151360.

The previous prime is 48820777. The next prime is 48820813. The reversal of 48820800 is 802884.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 32874 + ... + 34326.

Almost surely, 2^48820800 is an apocalyptic number.

48820800 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 48820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91590368).

48820800 is an abundant number, since it is smaller than the sum of its proper divisors (134359936).

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

48820800 is a wasteful number, since it uses less digits than its factorization.

48820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 48820800 is about 6987.1882756943. The cubic root of 48820800 is about 365.4839393024.

The spelling of 48820800 in words is "forty-eight million, eight hundred twenty thousand, eight hundred".