48640800 has 144 divisors (see below), whose sum is σ = 170614080. Its totient is φ = 11965440.

The previous prime is 48640793. The next prime is 48640807. The reversal of 48640800 is 804684.

It is an interprime number because it is at equal distance from previous prime (48640793) and next prime (48640807).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48640807) 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 23 ways as a sum of consecutive naturals, for example, 30421 + ... + 31979.

It is an arithmetic number, because the mean of its divisors is an integer number (1184820).

Almost surely, 2^48640800 is an apocalyptic number.

48640800 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 48640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85307040).

48640800 is an abundant number, since it is smaller than the sum of its proper divisors (121973280).

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

48640800 is a wasteful number, since it uses less digits than its factorization.

48640800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 48640800 is about 6974.2956633627. The cubic root of 48640800 is about 365.0342120931.

The spelling of 48640800 in words is "forty-eight million, six hundred forty thousand, eight hundred".