556414768 has 80 divisors (see below), whose sum is σ = 1331539776. Its totient is φ = 219340800.

The previous prime is 556414763. The next prime is 556414783. The reversal of 556414768 is 867414655.

It is not an unprimeable number, because it can be changed into a prime (556414763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583380 + ... + 584332.

Almost surely, 2^556414768 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 556414768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665769888).

556414768 is an abundant number, since it is smaller than the sum of its proper divisors (775125008).

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

556414768 is a wasteful number, since it uses less digits than its factorization.

556414768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1376 counting only the distinct ones).

The product of its digits is 806400, while the sum is 46.

The square root of 556414768 is about 23588.4456461209. The cubic root of 556414768 is about 822.4942731714.

The spelling of 556414768 in words is "five hundred fifty-six million, four hundred fourteen thousand, seven hundred sixty-eight".