52459120 has 80 divisors (see below), whose sum is σ = 140794560. Its totient is φ = 17805312.

The previous prime is 52459111. The next prime is 52459123. The reversal of 52459120 is 2195425.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52459123) by changing a digit.

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, 62866 + ... + 63694.

It is an arithmetic number, because the mean of its divisors is an integer number (1759932).

Almost surely, 2^52459120 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 52459120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70397280).

52459120 is an abundant number, since it is smaller than the sum of its proper divisors (88335440).

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

52459120 is a wasteful number, since it uses less digits than its factorization.

52459120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 52459120 is about 7242.8668357219. The cubic root of 52459120 is about 374.3464052024.

It can be divided in two parts, 5245 and 9120, that added together give a triangular number (14365 = T₁₆₉).

The spelling of 52459120 in words is "fifty-two million, four hundred fifty-nine thousand, one hundred twenty".