56410800 has 120 divisors (see below), whose sum is σ = 187049040. Its totient is φ = 14515200.

The previous prime is 56410759. The next prime is 56410801. The reversal of 56410800 is 801465.

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 (24).

It is not an unprimeable number, because it can be changed into a prime (56410801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33990 + ... + 35610.

It is an arithmetic number, because the mean of its divisors is an integer number (1558742).

Almost surely, 2^56410800 is an apocalyptic number.

56410800 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 56410800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93524520).

56410800 is an abundant number, since it is smaller than the sum of its proper divisors (130638240).

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

56410800 is a wasteful number, since it uses less digits than its factorization.

56410800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 56410800 is about 7510.7123497043. The cubic root of 56410800 is about 383.5194727166.

The spelling of 56410800 in words is "fifty-six million, four hundred ten thousand, eight hundred".