561408 has 72 divisors (see below), whose sum is σ = 1618848. Its totient is φ = 172032.

The previous prime is 561389. The next prime is 561409. The reversal of 561408 is 804165.

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 (561409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13035 + ... + 13077.

It is an arithmetic number, because the mean of its divisors is an integer number (22484).

2⁵⁶¹⁴⁰⁸ 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 561408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809424).

561408 is an abundant number, since it is smaller than the sum of its proper divisors (1057440).

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

561408 is a wasteful number, since it uses less digits than its factorization.

561408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 65 counting only the distinct ones).

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

The square root of 561408 is about 749.2716463340. The cubic root of 561408 is about 82.4947287725.

It can be divided in two parts, 561 and 408, that added together give a palindrome (969).

The spelling of 561408 in words is "five hundred sixty-one thousand, four hundred eight".