556400 has 60 divisors (see below), whose sum is σ = 1453032. Its totient is φ = 203520.

The previous prime is 556399. The next prime is 556403. The reversal of 556400 is 4655.

556400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 556400.

It is not an unprimeable number, because it can be changed into a prime (556403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5147 + ... + 5253.

2⁵⁵⁶⁴⁰⁰ is an apocalyptic number.

556400 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 556400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726516).

556400 is an abundant number, since it is smaller than the sum of its proper divisors (896632).

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

556400 is a wasteful number, since it uses less digits than its factorization.

556400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 556400 is about 745.9222479589. The cubic root of 556400 is about 82.2486996404.

The spelling of 556400 in words is "five hundred fifty-six thousand, four hundred".