48837600 has 576 divisors, whose sum is σ = 224985600. Its totient is φ = 9953280.

The previous prime is 48837599. The next prime is 48837611. The reversal of 48837600 is 673884.

48837600 is a `hidden beast` number, since 48 + 8 + 3 + 7 + 600 = 666.

48837600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×48837600² = 4770222347520000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2570391 + ... + 2570409.

It is an arithmetic number, because the mean of its divisors is an integer number (390600).

Almost surely, 2^48837600 is an apocalyptic number.

48837600 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 48837600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

48837600 is an abundant number, since it is smaller than the sum of its proper divisors (176148000).

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

48837600 is a wasteful number, since it uses less digits than its factorization.

48837600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 53 counting only the distinct ones).

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

The square root of 48837600 is about 6988.3903726108. The cubic root of 48837600 is about 365.5258574057.

The spelling of 48837600 in words is "forty-eight million, eight hundred thirty-seven thousand, six hundred".