48557600 has 288 divisors, whose sum is σ = 157489920. Its totient is φ = 14192640.

The previous prime is 48557567. The next prime is 48557609. The reversal of 48557600 is 675584.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (48557609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1674386 + ... + 1674414.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 2^48557600 is an apocalyptic number.

48557600 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 48557600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78744960).

48557600 is an abundant number, since it is smaller than the sum of its proper divisors (108932320).

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

48557600 is a wasteful number, since it uses less digits than its factorization.

48557600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 48557600 is about 6968.3283504726. The cubic root of 48557600 is about 364.8259631927.

It can be divided in two parts, 485 and 57600, that added together give a palindrome (58085).

The spelling of 48557600 in words is "forty-eight million, five hundred fifty-seven thousand, six hundred".