48729600 has 300 divisors, whose sum is σ = 184189104. Its totient is φ = 12718080.

The previous prime is 48729589. The next prime is 48729601. The reversal of 48729600 is 692784.

48729600 is a `hidden beast` number, since 48 + 7 + 2 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48729601) 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 29 ways as a sum of consecutive naturals, for example, 1036777 + ... + 1036823.

Almost surely, 2^48729600 is an apocalyptic number.

48729600 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 48729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92094552).

48729600 is an abundant number, since it is smaller than the sum of its proper divisors (135459504).

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

48729600 is an equidigital number, since it uses as much as digits as its factorization.

48729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 48729600 is about 6980.6589946795. The cubic root of 48729600 is about 365.2562159258.

The spelling of 48729600 in words is "forty-eight million, seven hundred twenty-nine thousand, six hundred".