56449800 has 144 divisors (see below), whose sum is σ = 206884080. Its totient is φ = 13680000.

The previous prime is 56449781. The next prime is 56449801. The reversal of 56449800 is 894465.

56449800 is a `hidden beast` number, since 5 + 644 + 9 + 8 + 0 + 0 = 666.

56449800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (56449801) 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, 18375 + ... + 21225.

It is an arithmetic number, because the mean of its divisors is an integer number (1436695).

Almost surely, 2^56449800 is an apocalyptic number.

56449800 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 56449800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103442040).

56449800 is an abundant number, since it is smaller than the sum of its proper divisors (150434280).

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

56449800 is a wasteful number, since it uses less digits than its factorization.

56449800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 56449800 is about 7513.3081928003. The cubic root of 56449800 is about 383.6078353104.

The spelling of 56449800 in words is "fifty-six million, four hundred forty-nine thousand, eight hundred".