48336000 has 256 divisors, whose sum is σ = 171849600. Its totient is φ = 11980800.

The previous prime is 48335993. The next prime is 48336031. The reversal of 48336000 is 63384.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 911974 + ... + 912026.

Almost surely, 2^48336000 is an apocalyptic number.

48336000 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 48336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85924800).

48336000 is an abundant number, since it is smaller than the sum of its proper divisors (123513600).

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

48336000 is a wasteful number, since it uses less digits than its factorization.

48336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 48336000 is about 6952.4096542134. The cubic root of 48336000 is about 364.2701371930.

Adding to 48336000 its reverse (63384), we get a palindrome (48399384).

The spelling of 48336000 in words is "forty-eight million, three hundred thirty-six thousand".