48399840 has 288 divisors, whose sum is σ = 182800800. Its totient is φ = 11612160.

The previous prime is 48399839. The next prime is 48399847. The reversal of 48399840 is 4899384.

It is a happy number.

48399840 is a `hidden beast` number, since 483 + 99 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48399847) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 793410 + ... + 793470.

It is an arithmetic number, because the mean of its divisors is an integer number (634725).

Almost surely, 2^48399840 is an apocalyptic number.

48399840 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 48399840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

48399840 is an abundant number, since it is smaller than the sum of its proper divisors (134400960).

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

48399840 is a wasteful number, since it uses less digits than its factorization.

48399840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 48399840 is about 6956.9993531694. Note that the first 3 decimals coincide. The cubic root of 48399840 is about 364.4304371420.

The spelling of 48399840 in words is "forty-eight million, three hundred ninety-nine thousand, eight hundred forty".