413556 has 48 divisors (see below), whose sum is σ = 1138368. Its totient is φ = 115200.

The previous prime is 413551. The next prime is 413557. The reversal of 413556 is 655314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413551) 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 15 ways as a sum of consecutive naturals, for example, 1596 + ... + 1836.

It is an arithmetic number, because the mean of its divisors is an integer number (23716).

2⁴¹³⁵⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569184).

413556 is an abundant number, since it is smaller than the sum of its proper divisors (724812).

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

413556 is a wasteful number, since it uses less digits than its factorization.

413556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 270 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 413556 is about 643.0831983499. The cubic root of 413556 is about 74.5037458892.

It can be divided in two parts, 413 and 556, that added together give a palindrome (969).

The spelling of 413556 in words is "four hundred thirteen thousand, five hundred fifty-six".