52080480 has 144 divisors (see below), whose sum is σ = 181031760. Its totient is φ = 13630464.

The previous prime is 52080473. The next prime is 52080493. The reversal of 52080480 is 8408025.

52080480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84654 + ... + 85266.

It is an arithmetic number, because the mean of its divisors is an integer number (1257165).

Almost surely, 2^52080480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52080480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90515880).

52080480 is an abundant number, since it is smaller than the sum of its proper divisors (128951280).

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

52080480 is a wasteful number, since it uses less digits than its factorization.

52080480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 52080480 is about 7216.6806774306. The cubic root of 52080480 is about 373.4435757197.

The spelling of 52080480 in words is "fifty-two million, eighty thousand, four hundred eighty".