48115600 has 120 divisors (see below), whose sum is σ = 131311040. Its totient is φ = 16796160.

The previous prime is 48115597. The next prime is 48115607. The reversal of 48115600 is 651184.

It is a super-2 number, since 2×48115600² = 4630221926720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (48115607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98557 + ... + 99043.

Almost surely, 2^48115600 is an apocalyptic number.

48115600 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 48115600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65655520).

48115600 is an abundant number, since it is smaller than the sum of its proper divisors (83195440).

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

48115600 is a wasteful number, since it uses less digits than its factorization.

48115600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 48115600 is about 6936.5409246973. The cubic root of 48115600 is about 363.7156334761.

Adding to 48115600 its reverse (651184), we get a palindrome (48766784).

The spelling of 48115600 in words is "forty-eight million, one hundred fifteen thousand, six hundred".