56453200 has 60 divisors (see below), whose sum is σ = 137000160. Its totient is φ = 22353280.

The previous prime is 56453149. The next prime is 56453203. The reversal of 56453200 is 235465.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56453203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42141 + ... + 43459.

It is an arithmetic number, because the mean of its divisors is an integer number (2283336).

Almost surely, 2^56453200 is an apocalyptic number.

56453200 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 56453200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68500080).

56453200 is an abundant number, since it is smaller than the sum of its proper divisors (80546960).

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

56453200 is a wasteful number, since it uses less digits than its factorization.

56453200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 56453200 is about 7513.5344545693. The cubic root of 56453200 is about 383.6155367871.

Adding to 56453200 its reverse (235465), we get a palindrome (56688665).

The spelling of 56453200 in words is "fifty-six million, four hundred fifty-three thousand, two hundred".