48736800 has 216 divisors, whose sum is σ = 196612416. Its totient is φ = 11128320.

The previous prime is 48736799. The next prime is 48736817. The reversal of 48736800 is 863784.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49917 + ... + 50883.

Almost surely, 2^48736800 is an apocalyptic number.

48736800 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 48736800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98306208).

48736800 is an abundant number, since it is smaller than the sum of its proper divisors (147875616).

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

48736800 is a wasteful number, since it uses less digits than its factorization.

48736800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 48736800 is about 6981.1746862545. The cubic root of 48736800 is about 365.2742044122.

The spelling of 48736800 in words is "forty-eight million, seven hundred thirty-six thousand, eight hundred".