48276000 has 240 divisors, whose sum is σ = 178378200. Its totient is φ = 12787200.

The previous prime is 48275999. The next prime is 48276013. The reversal of 48276000 is 67284.

It can be written as a sum of positive squares in 4 ways, for example, as 5817744 + 42458256 = 2412^2 + 6516^2 .

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 323926 + ... + 324074.

Almost surely, 2^48276000 is an apocalyptic number.

48276000 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 48276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89189100).

48276000 is an abundant number, since it is smaller than the sum of its proper divisors (130102200).

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

48276000 is a wasteful number, since it uses less digits than its factorization.

48276000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 48276000 is about 6948.0932636228. The cubic root of 48276000 is about 364.1193506300.

The spelling of 48276000 in words is "forty-eight million, two hundred seventy-six thousand".