48096000 has 216 divisors, whose sum is σ = 174099744. Its totient is φ = 12748800.

The previous prime is 48095989. The next prime is 48096001. The reversal of 48096000 is 69084.

48096000 = 13² + 14² + ... + 524².

It is a super-3 number, since 3×48096000³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48096001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287917 + ... + 288083.

Almost surely, 2^48096000 is an apocalyptic number.

48096000 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 48096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87049872).

48096000 is an abundant number, since it is smaller than the sum of its proper divisors (126003744).

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

48096000 is a wasteful number, since it uses less digits than its factorization.

48096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 48096000 is about 6935.1279728639. The cubic root of 48096000 is about 363.6662399695. Note that the first 3 decimals are identical.

The spelling of 48096000 in words is "forty-eight million, ninety-six thousand".