48944000 has 256 divisors, whose sum is σ = 152755200. Its totient is φ = 15206400.

The previous prime is 48943997. The next prime is 48944011. The reversal of 48944000 is 44984.

It is a happy number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2127989 + ... + 2128011.

It is an arithmetic number, because the mean of its divisors is an integer number (596700).

Almost surely, 2^48944000 is an apocalyptic number.

48944000 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 48944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76377600).

48944000 is an abundant number, since it is smaller than the sum of its proper divisors (103811200).

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

48944000 is a wasteful number, since it uses less digits than its factorization.

48944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 48944000 is about 6995.9988564893. The cubic root of 48944000 is about 365.7911157407.

Adding to 48944000 its reverse (44984), we get a palindrome (48988984).

The spelling of 48944000 in words is "forty-eight million, nine hundred forty-four thousand".