48044640 has 192 divisors, whose sum is σ = 176117760. Its totient is φ = 10782720.

The previous prime is 48044621. The next prime is 48044641. The reversal of 48044640 is 4644084.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 48044598 and 48044607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48044641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265350 + ... + 265530.

It is an arithmetic number, because the mean of its divisors is an integer number (917280).

Almost surely, 2^48044640 is an apocalyptic number.

48044640 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 48044640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

48044640 is an abundant number, since it is smaller than the sum of its proper divisors (128073120).

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

48044640 is a wasteful number, since it uses less digits than its factorization.

48044640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 48044640 is about 6931.4240961003. The cubic root of 48044640 is about 363.5367451362.

It can be divided in two parts, 48044 and 640, that added together give a palindrome (48684).

The spelling of 48044640 in words is "forty-eight million, forty-four thousand, six hundred forty".