48168900 has 216 divisors, whose sum is σ = 170614080. Its totient is φ = 11278080.

The previous prime is 48168899. The next prime is 48168917. The reversal of 48168900 is 986184.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 269011 + ... + 269189.

It is an arithmetic number, because the mean of its divisors is an integer number (789880).

Almost surely, 2^48168900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48168900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85307040).

48168900 is an abundant number, since it is smaller than the sum of its proper divisors (122445180).

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

48168900 is a wasteful number, since it uses less digits than its factorization.

48168900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 48168900 is about 6940.3818338763. The cubic root of 48168900 is about 363.8498857725.

The spelling of 48168900 in words is "forty-eight million, one hundred sixty-eight thousand, nine hundred".