556416 has 128 divisors (see below), whose sum is σ = 1958400. Its totient is φ = 152064.

The previous prime is 556403. The next prime is 556441. The reversal of 556416 is 614655.

It is a happy number.

556416 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 556416.

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 556416.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24181 + ... + 24203.

It is an arithmetic number, because the mean of its divisors is an integer number (15300).

2⁵⁵⁶⁴¹⁶ is an apocalyptic number.

556416 is a gapful number since it is divisible by the number (56) 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 556416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979200).

556416 is an abundant number, since it is smaller than the sum of its proper divisors (1401984).

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

556416 is a wasteful number, since it uses less digits than its factorization.

556416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 35 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 556416 is about 745.9329728602. The cubic root of 556416 is about 82.2494880220.

The spelling of 556416 in words is "five hundred fifty-six thousand, four hundred sixteen".