52385280 has 160 divisors (see below), whose sum is σ = 176774400. Its totient is φ = 13197312.

The previous prime is 52385243. The next prime is 52385297. The reversal of 52385280 is 8258325.

It is a tau number, because it is divible by the number of its divisors (160).

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 15 ways as a sum of consecutive naturals, for example, 145741 + ... + 146099.

It is an arithmetic number, because the mean of its divisors is an integer number (1104840).

Almost surely, 2^52385280 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 52385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88387200).

52385280 is an abundant number, since it is smaller than the sum of its proper divisors (124389120).

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

52385280 is a wasteful number, since it uses less digits than its factorization.

52385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 52385280 is about 7237.7676116327. The cubic root of 52385280 is about 374.1706828625.

The spelling of 52385280 in words is "fifty-two million, three hundred eighty-five thousand, two hundred eighty".