48165600 has 288 divisors, whose sum is σ = 185988096. Its totient is φ = 10598400.

The previous prime is 48165583. The next prime is 48165613. The reversal of 48165600 is 656184.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 789570 + ... + 789630.

It is an arithmetic number, because the mean of its divisors is an integer number (645792).

Almost surely, 2^48165600 is an apocalyptic number.

48165600 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 48165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92994048).

48165600 is an abundant number, since it is smaller than the sum of its proper divisors (137822496).

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

48165600 is a wasteful number, since it uses less digits than its factorization.

48165600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

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

The square root of 48165600 is about 6940.1440907232. The cubic root of 48165600 is about 363.8415765935.

The spelling of 48165600 in words is "forty-eight million, one hundred sixty-five thousand, six hundred".