48100446 has 64 divisors (see below), whose sum is σ = 114255360. Its totient is φ = 14947200.

The previous prime is 48100433. The next prime is 48100447. The reversal of 48100446 is 64400184.

It is a super-3 number, since 3×48100446³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48100447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138445 + ... + 138791.

It is an arithmetic number, because the mean of its divisors is an integer number (1785240).

Almost surely, 2^48100446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48100446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57127680).

48100446 is an abundant number, since it is smaller than the sum of its proper divisors (66154914).

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

48100446 is a wasteful number, since it uses less digits than its factorization.

48100446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48100446 is about 6935.4485074867. The cubic root of 48100446 is about 363.6774454079.

The spelling of 48100446 in words is "forty-eight million, one hundred thousand, four hundred forty-six".