48084840 has 224 divisors, whose sum is σ = 173524680. Its totient is φ = 11943936.

The previous prime is 48084797. The next prime is 48084847. The reversal of 48084840 is 4848084.

It can be written as a sum of positive squares in 4 ways, for example, as 42693156 + 5391684 = 6534^2 + 2322^2 .

It is a super-3 number, since 3×48084840³ (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 junction number, because it is equal to n+sod(n) for n = 48084795 and 48084804.

It is not an unprimeable number, because it can be changed into a prime (48084847) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 495672 + ... + 495768.

Almost surely, 2^48084840 is an apocalyptic number.

48084840 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 48084840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86762340).

48084840 is an abundant number, since it is smaller than the sum of its proper divisors (125439840).

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

48084840 is a wasteful number, since it uses less digits than its factorization.

48084840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 48084840 is about 6934.3233267565. The cubic root of 48084840 is about 363.6381099159.

The spelling of 48084840 in words is "forty-eight million, eighty-four thousand, eight hundred forty".