48748800 has 108 divisors (see below), whose sum is σ = 160944560. Its totient is φ = 12994560.

The previous prime is 48748793. The next prime is 48748801. The reversal of 48748800 is 884784.

It is not an unprimeable number, because it can be changed into a prime (48748801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17931 + ... + 20469.

Almost surely, 2^48748800 is an apocalyptic number.

48748800 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 48748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80472280).

48748800 is an abundant number, since it is smaller than the sum of its proper divisors (112195760).

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

48748800 is a wasteful number, since it uses less digits than its factorization.

48748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 48748800 is about 6982.0340875708. The cubic root of 48748800 is about 365.3041812863.

The spelling of 48748800 in words is "forty-eight million, seven hundred forty-eight thousand, eight hundred".