559941408 has 144 divisors (see below), whose sum is σ = 1723752576. Its totient is φ = 171394560.

The previous prime is 559941401. The next prime is 559941413. The reversal of 559941408 is 804149955.

559941408 is a `hidden beast` number, since 559 + 94 + 1 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (559941401) 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, 1298953 + ... + 1299383.

It is an arithmetic number, because the mean of its divisors is an integer number (11970504).

Almost surely, 2^559941408 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 559941408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861876288).

559941408 is an abundant number, since it is smaller than the sum of its proper divisors (1163811168).

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

559941408 is a wasteful number, since it uses less digits than its factorization.

559941408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 559941408 is about 23663.0811180624. The cubic root of 559941408 is about 824.2283120128.

The spelling of 559941408 in words is "five hundred fifty-nine million, nine hundred forty-one thousand, four hundred eight".