48444000 has 192 divisors, whose sum is σ = 173601792. Its totient is φ = 11712000.

The previous prime is 48443987. The next prime is 48444013. The reversal of 48444000 is 44484.

It is an interprime number because it is at equal distance from previous prime (48443987) and next prime (48444013).

It is a super-2 number, since 2×48444000² = 4693642272000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 131817 + ... + 132183.

It is an arithmetic number, because the mean of its divisors is an integer number (904176).

Almost surely, 2^48444000 is an apocalyptic number.

48444000 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 48444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86800896).

48444000 is an abundant number, since it is smaller than the sum of its proper divisors (125157792).

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

48444000 is a wasteful number, since it uses less digits than its factorization.

48444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 48444000 is about 6960.1724116576. The cubic root of 48444000 is about 364.5412388588.

Adding to 48444000 its reverse (44484), we get a palindrome (48488484).

The spelling of 48444000 in words is "forty-eight million, four hundred forty-four thousand".