48057600 has 108 divisors (see below), whose sum is σ = 158663456. Its totient is φ = 12810240.

The previous prime is 48057599. The next prime is 48057601. The reversal of 48057600 is 675084.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48057599) and next prime (48057601).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48057601) 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 11 ways as a sum of consecutive naturals, for example, 17949 + ... + 20451.

Almost surely, 2^48057600 is an apocalyptic number.

48057600 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 48057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79331728).

48057600 is an abundant number, since it is smaller than the sum of its proper divisors (110605856).

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

48057600 is a wasteful number, since it uses less digits than its factorization.

48057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 48057600 is about 6932.3589058848. The cubic root of 48057600 is about 363.5694301047.

The spelling of 48057600 in words is "forty-eight million, fifty-seven thousand, six hundred".