48446208 has 144 divisors (see below), whose sum is σ = 147495040. Its totient is φ = 15676416.

The previous prime is 48446201. The next prime is 48446213. The reversal of 48446208 is 80264484.

48446208 is a `hidden beast` number, since 4 + 8 + 446 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48446201) 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 15 ways as a sum of consecutive naturals, for example, 297135 + ... + 297297.

Almost surely, 2^48446208 is an apocalyptic number.

48446208 is a gapful number since it is divisible by the number (48) 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 48446208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73747520).

48446208 is an abundant number, since it is smaller than the sum of its proper divisors (99048832).

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

48446208 is a wasteful number, since it uses less digits than its factorization.

48446208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 48446208 is about 6960.3310266107. The cubic root of 48446208 is about 364.5467771768.

The spelling of 48446208 in words is "forty-eight million, four hundred forty-six thousand, two hundred eight".