52640400 has 60 divisors (see below), whose sum is σ = 168628592. Its totient is φ = 14037120.

The previous prime is 52640389. The next prime is 52640417. The reversal of 52640400 is 404625.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 20734 + ... + 23133.

Almost surely, 2^52640400 is an apocalyptic number.

52640400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52640400 is an abundant number, since it is smaller than the sum of its proper divisors (115988192).

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

52640400 is a wasteful number, since it uses less digits than its factorization.

52640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43888 (or 43877 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 52640400 is about 7255.3704247268. The cubic root of 52640400 is about 374.7771119932. Note that the first 3 decimals are identical.

The spelling of 52640400 in words is "fifty-two million, six hundred forty thousand, four hundred".