48615600 has 240 divisors, whose sum is σ = 177131520. Its totient is φ = 11289600.

The previous prime is 48615577. The next prime is 48615601. The reversal of 48615600 is 651684.

It is a tau number, because it is divible by the number of its divisors (240).

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 (48615601) 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, 382737 + ... + 382863.

It is an arithmetic number, because the mean of its divisors is an integer number (738048).

Almost surely, 2^48615600 is an apocalyptic number.

48615600 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 48615600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88565760).

48615600 is an abundant number, since it is smaller than the sum of its proper divisors (128515920).

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

48615600 is a wasteful number, since it uses less digits than its factorization.

48615600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 48615600 is about 6972.4887952581. The cubic root of 48615600 is about 364.9711617924.

The spelling of 48615600 in words is "forty-eight million, six hundred fifteen thousand, six hundred".