48621600 has 144 divisors (see below), whose sum is σ = 175926240. Its totient is φ = 12960000.

The previous prime is 48621571. The next prime is 48621607. The reversal of 48621600 is 612684.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (48621607) 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, 20475 + ... + 22725.

It is an arithmetic number, because the mean of its divisors is an integer number (1221710).

Almost surely, 2^48621600 is an apocalyptic number.

48621600 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 48621600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87963120).

48621600 is an abundant number, since it is smaller than the sum of its proper divisors (127304640).

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

48621600 is a wasteful number, since it uses less digits than its factorization.

48621600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 48621600 is about 6972.9190444175. The cubic root of 48621600 is about 364.9861757446.

It can be divided in two parts, 486 and 21600, that multiplied together give a square (10497600 = 3240²).

The spelling of 48621600 in words is "forty-eight million, six hundred twenty-one thousand, six hundred".