48240000 has 240 divisors, whose sum is σ = 176053020. Its totient is φ = 12672000.

The previous prime is 48239969. The next prime is 48240011. The reversal of 48240000 is 4284.

It is a happy number.

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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 719967 + ... + 720033.

Almost surely, 2^48240000 is an apocalyptic number.

48240000 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 48240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88026510).

48240000 is an abundant number, since it is smaller than the sum of its proper divisors (127813020).

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

48240000 is an equidigital number, since it uses as much as digits as its factorization.

48240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 48240000 is about 6945.5021416741. The cubic root of 48240000 is about 364.0288187142.

Adding to 48240000 its reverse (4284), we get a palindrome (48244284).

The spelling of 48240000 in words is "forty-eight million, two hundred forty thousand".