556665408 has 168 divisors, whose sum is σ = 1819811448. Its totient is φ = 161169408.

The previous prime is 556665379. The next prime is 556665409. The reversal of 556665408 is 804566655.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 77580864 + 479084544 = 8808^2 + 21888^2 .

It is not an unprimeable number, because it can be changed into a prime (556665409) 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, 125110 + ... + 129482.

It is an arithmetic number, because the mean of its divisors is an integer number (10832211).

Almost surely, 2^556665408 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 556665408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909905724).

556665408 is an abundant number, since it is smaller than the sum of its proper divisors (1263146040).

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

556665408 is a wasteful number, since it uses less digits than its factorization.

556665408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4421 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 556665408 is about 23593.7578185418. The cubic root of 556665408 is about 822.6177536099.

The spelling of 556665408 in words is "five hundred fifty-six million, six hundred sixty-five thousand, four hundred eight".