56480400 has 180 divisors, whose sum is σ = 203136180. Its totient is φ = 14515200.

The previous prime is 56480377. The next prime is 56480401. The reversal of 56480400 is 408465.

56480400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1838736 + 54641664 = 1356^2 + 7392^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (56480401) 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 35 ways as a sum of consecutive naturals, for example, 104130 + ... + 104670.

Almost surely, 2^56480400 is an apocalyptic number.

56480400 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 56480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101568090).

56480400 is an abundant number, since it is smaller than the sum of its proper divisors (146655780).

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

56480400 is a wasteful number, since it uses less digits than its factorization.

56480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 56480400 is about 7515.3443034900. The cubic root of 56480400 is about 383.6771374714.

Adding to 56480400 its reverse (408465), we get a palindrome (56888865).

The spelling of 56480400 in words is "fifty-six million, four hundred eighty thousand, four hundred".