48360000 has 280 divisors, whose sum is σ = 177743104. Its totient is φ = 11520000.

The previous prime is 48359989. The next prime is 48360043. The reversal of 48360000 is 6384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1559985 + ... + 1560015.

Almost surely, 2^48360000 is an apocalyptic number.

48360000 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 48360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88871552).

48360000 is an abundant number, since it is smaller than the sum of its proper divisors (129383104).

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

48360000 is a wasteful number, since it uses less digits than its factorization.

48360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 48360000 is about 6954.1354602855. The cubic root of 48360000 is about 364.3304168792.

Adding to 48360000 its reverse (6384), we get a palindrome (48366384).

The spelling of 48360000 in words is "forty-eight million, three hundred sixty thousand".