56451600 has 120 divisors (see below), whose sum is σ = 200964320. Its totient is φ = 15050880.

The previous prime is 56451569. The next prime is 56451623. The reversal of 56451600 is 615465.

It is a happy number.

56451600 is a `hidden beast` number, since 5 + 6 + 4 + 51 + 600 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8187 + ... + 13413.

Almost surely, 2^56451600 is an apocalyptic number.

56451600 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 56451600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100482160).

56451600 is an abundant number, since it is smaller than the sum of its proper divisors (144512720).

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

56451600 is a wasteful number, since it uses less digits than its factorization.

56451600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5254 (or 5237 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 56451600 is about 7513.4279792915. The cubic root of 56451600 is about 383.6119126013.

The spelling of 56451600 in words is "fifty-six million, four hundred fifty-one thousand, six hundred".