48444480 has 336 divisors, whose sum is σ = 199704960. Its totient is φ = 10948608.

The previous prime is 48444457. The next prime is 48444497. The reversal of 48444480 is 8444484.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×48444480³ (a number of 24 digits) contains 333 as substring.

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

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544276 + ... + 544364.

It is an arithmetic number, because the mean of its divisors is an integer number (594360).

Almost surely, 2^48444480 is an apocalyptic number.

48444480 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 48444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99852480).

48444480 is an abundant number, since it is smaller than the sum of its proper divisors (151260480).

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

48444480 is an equidigital number, since it uses as much as digits as its factorization.

48444480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 48444480 is about 6960.2068934767. The cubic root of 48444480 is about 364.5424428553.

The spelling of 48444480 in words is "forty-eight million, four hundred forty-four thousand, four hundred eighty".