56410200 has 432 divisors, whose sum is σ = 244411440. Its totient is φ = 11404800.

The previous prime is 56410169. The next prime is 56410201. The reversal of 56410200 is 201465.

It is a happy number.

56410200 is a `hidden beast` number, since 5 + 641 + 0 + 20 + 0 = 666.

It is a super-2 number, since 2×56410200² = 6364221328080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56410201) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 1524582 + ... + 1524618.

Almost surely, 2^56410200 is an apocalyptic number.

56410200 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 56410200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122205720).

56410200 is an abundant number, since it is smaller than the sum of its proper divisors (188001240).

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

56410200 is a wasteful number, since it uses less digits than its factorization.

56410200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 56410200 is about 7510.6724066491. The cubic root of 56410200 is about 383.5181129740.

Adding to 56410200 its reverse (201465), we get a palindrome (56611665).

The spelling of 56410200 in words is "fifty-six million, four hundred ten thousand, two hundred".