52388640 has 192 divisors, whose sum is σ = 187125120. Its totient is φ = 13685760.

The previous prime is 52388639. The next prime is 52388647. The reversal of 52388640 is 4688325.

52388640 is a `hidden beast` number, since 5 + 2 + 3 + 8 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52388595 and 52388604.

It is not an unprimeable number, because it can be changed into a prime (52388647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289350 + ... + 289530.

It is an arithmetic number, because the mean of its divisors is an integer number (974610).

Almost surely, 2^52388640 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 52388640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93562560).

52388640 is an abundant number, since it is smaller than the sum of its proper divisors (134736480).

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

52388640 is a wasteful number, since it uses less digits than its factorization.

52388640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 52388640 is about 7237.9997236806. Note that the first 3 decimals coincide. The cubic root of 52388640 is about 374.1786824800.

The spelling of 52388640 in words is "fifty-two million, three hundred eighty-eight thousand, six hundred forty".