52280400 has 120 divisors (see below), whose sum is σ = 176362720. Its totient is φ = 13201920.

The previous prime is 52280399. The next prime is 52280407. The reversal of 52280400 is 408225.

52280400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52280407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21654 + ... + 23946.

Almost surely, 2^52280400 is an apocalyptic number.

52280400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52280400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88181360).

52280400 is an abundant number, since it is smaller than the sum of its proper divisors (124082320).

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

52280400 is a wasteful number, since it uses less digits than its factorization.

52280400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 52280400 is about 7230.5186535960. The cubic root of 52280400 is about 373.9208083447.

Adding to 52280400 its reverse (408225), we get a palindrome (52688625).

The spelling of 52280400 in words is "fifty-two million, two hundred eighty thousand, four hundred".