48483600 has 120 divisors (see below), whose sum is σ = 169474272. Its totient is φ = 11750400.

The previous prime is 48483583. The next prime is 48483619. The reversal of 48483600 is 638484.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11364 + ... + 15036.

Almost surely, 2^48483600 is an apocalyptic number.

48483600 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 48483600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84737136).

48483600 is an abundant number, since it is smaller than the sum of its proper divisors (120990672).

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

48483600 is a wasteful number, since it uses less digits than its factorization.

48483600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 48483600 is about 6963.0165876580. The cubic root of 48483600 is about 364.6405418435.

It can be divided in two parts, 4848 and 3600, that added together give a palindrome (8448).

The spelling of 48483600 in words is "forty-eight million, four hundred eighty-three thousand, six hundred".