48489600 has 96 divisors (see below), whose sum is σ = 159744240. Its totient is φ = 12928000.

The previous prime is 48489599. The next prime is 48489601. The reversal of 48489600 is 698484.

It is an interprime number because it is at equal distance from previous prime (48489599) and next prime (48489601).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (48489601) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7075 + ... + 12125.

Almost surely, 2^48489600 is an apocalyptic number.

48489600 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 48489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79872120).

48489600 is an abundant number, since it is smaller than the sum of its proper divisors (111254640).

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

48489600 is a wasteful number, since it uses less digits than its factorization.

48489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5078 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 48489600 is about 6963.4474220748. The cubic root of 48489600 is about 364.6555830328.

The spelling of 48489600 in words is "forty-eight million, four hundred eighty-nine thousand, six hundred".