56452000 has 96 divisors (see below), whose sum is σ = 151429824. Its totient is φ = 20512000.

The previous prime is 56451979. The next prime is 56452001. The reversal of 56452000 is 25465.

56452000 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 (22).

It is not an unprimeable number, because it can be changed into a prime (56452001) 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 15 ways as a sum of consecutive naturals, for example, 43359 + ... + 44641.

It is an arithmetic number, because the mean of its divisors is an integer number (1577394).

Almost surely, 2^56452000 is an apocalyptic number.

56452000 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 56452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75714912).

56452000 is an abundant number, since it is smaller than the sum of its proper divisors (94977824).

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

56452000 is a wasteful number, since it uses less digits than its factorization.

56452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 56452000 is about 7513.4545982524. The cubic root of 56452000 is about 383.6128186542.

Adding to 56452000 its reverse (25465), we get a palindrome (56477465).

The spelling of 56452000 in words is "fifty-six million, four hundred fifty-two thousand".