56410000 has 50 divisors (see below), whose sum is σ = 136598462. Its totient is φ = 22560000.

The previous prime is 56409979. The next prime is 56410001. The reversal of 56410000 is 1465.

It can be written as a sum of positive squares in 5 ways, for example, as 6170256 + 50239744 = 2484^2 + 7088^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (56410001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7180 + ... + 12820.

Almost surely, 2^56410000 is an apocalyptic number.

56410000 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 56410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68299231).

56410000 is an abundant number, since it is smaller than the sum of its proper divisors (80188462).

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

56410000 is an equidigital number, since it uses as much as digits as its factorization.

56410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5669 (or 5648 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 56410000 is about 7510.6590922502. The cubic root of 56410000 is about 383.5176597244.

Adding to 56410000 its reverse (1465), we get a palindrome (56411465).

The spelling of 56410000 in words is "fifty-six million, four hundred ten thousand".