53482880 has 128 divisors (see below), whose sum is σ = 142767360. Its totient is φ = 18995200.

The previous prime is 53482837. The next prime is 53482903. The reversal of 53482880 is 8828435.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499787 + ... + 499893.

It is an arithmetic number, because the mean of its divisors is an integer number (1115370).

Almost surely, 2^53482880 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 53482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71383680).

53482880 is an abundant number, since it is smaller than the sum of its proper divisors (89284480).

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

53482880 is a wasteful number, since it uses less digits than its factorization.

53482880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 53482880 is about 7313.1990264179. The cubic root of 53482880 is about 376.7659052307.

It can be divided in two parts, 5348 and 2880, that added together give a palindrome (8228).

The spelling of 53482880 in words is "fifty-three million, four hundred eighty-two thousand, eight hundred eighty".