48216000 has 336 divisors, whose sum is σ = 189719712. Its totient is φ = 10752000.

The previous prime is 48215983. The next prime is 48216011. The reversal of 48216000 is 61284.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1175980 + ... + 1176020.

It is an arithmetic number, because the mean of its divisors is an integer number (564642).

Almost surely, 2^48216000 is an apocalyptic number.

48216000 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 48216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94859856).

48216000 is an abundant number, since it is smaller than the sum of its proper divisors (141503712).

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

48216000 is a wasteful number, since it uses less digits than its factorization.

48216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 48216000 is about 6943.7741898769. The cubic root of 48216000 is about 363.9684390782.

Adding to 48216000 its reverse (61284), we get a palindrome (48277284).

The spelling of 48216000 in words is "forty-eight million, two hundred sixteen thousand".