52924160 has 72 divisors (see below), whose sum is σ = 128036160. Its totient is φ = 20959232.

The previous prime is 52924147. The next prime is 52924163. The reversal of 52924160 is 6142925.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52924163) 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 7 ways as a sum of consecutive naturals, for example, 221321 + ... + 221559.

It is an arithmetic number, because the mean of its divisors is an integer number (1778280).

Almost surely, 2^52924160 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 52924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64018080).

52924160 is an abundant number, since it is smaller than the sum of its proper divisors (75112000).

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

52924160 is a wasteful number, since it uses less digits than its factorization.

52924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 52924160 is about 7274.8993120180. The cubic root of 52924160 is about 375.4493221513.

The spelling of 52924160 in words is "fifty-two million, nine hundred twenty-four thousand, one hundred sixty".