48394800 has 120 divisors (see below), whose sum is σ = 172288080. Its totient is φ = 12902400.

The previous prime is 48394789. The next prime is 48394817. The reversal of 48394800 is 849384.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 8560 + ... + 13040.

It is an arithmetic number, because the mean of its divisors is an integer number (1435734).

Almost surely, 2^48394800 is an apocalyptic number.

48394800 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 48394800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86144040).

48394800 is an abundant number, since it is smaller than the sum of its proper divisors (123893280).

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

48394800 is a wasteful number, since it uses less digits than its factorization.

48394800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4508 (or 4491 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 48394800 is about 6956.6371186084. The cubic root of 48394800 is about 364.4177870096.

It can be divided in two parts, 48394 and 800, that added together give a palindrome (49194).

The spelling of 48394800 in words is "forty-eight million, three hundred ninety-four thousand, eight hundred".