56485800 has 144 divisors (see below), whose sum is σ = 216846240. Its totient is φ = 12908160.

The previous prime is 56485799. The next prime is 56485801. The reversal of 56485800 is 858465.

It is a happy number.

56485800 is a `hidden beast` number, since 5 + 648 + 5 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56485799) and next prime (56485801).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (56485801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10359 + ... + 14841.

Almost surely, 2^56485800 is an apocalyptic number.

56485800 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 56485800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108423120).

56485800 is an abundant number, since it is smaller than the sum of its proper divisors (160360440).

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

56485800 is a wasteful number, since it uses less digits than its factorization.

56485800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4512 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 56485800 is about 7515.7035598805. The cubic root of 56485800 is about 383.6893646659.

The spelling of 56485800 in words is "fifty-six million, four hundred eighty-five thousand, eight hundred".