556297920 has 168 divisors, whose sum is σ = 1922160240. Its totient is φ = 147671040.

The previous prime is 556297909. The next prime is 556297921. The reversal of 556297920 is 29792655.

556297920 is a `hidden beast` number, since 556 + 2 + 9 + 7 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (556297921) 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 23 ways as a sum of consecutive naturals, for example, 1206490 + ... + 1206950.

It is an arithmetic number, because the mean of its divisors is an integer number (11441430).

Almost surely, 2^556297920 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 556297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961080120).

556297920 is an abundant number, since it is smaller than the sum of its proper divisors (1365862320).

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

556297920 is a wasteful number, since it uses less digits than its factorization.

556297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 556297920 is about 23585.9687102311. The cubic root of 556297920 is about 822.4366940987.

The spelling of 556297920 in words is "five hundred fifty-six million, two hundred ninety-seven thousand, nine hundred twenty".