556394496 has 192 divisors, whose sum is σ = 1797344640. Its totient is φ = 149422080.

The previous prime is 556394483. The next prime is 556394497. The reversal of 556394496 is 694493655.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (3499200) is a multiple of the sum of its prime factors (810).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556394497) 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, 730756 + ... + 731516.

It is an arithmetic number, because the mean of its divisors is an integer number (9361170).

Almost surely, 2^556394496 is an apocalyptic number.

556394496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556394496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898672320).

556394496 is an abundant number, since it is smaller than the sum of its proper divisors (1240950144).

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

556394496 is a wasteful number, since it uses less digits than its factorization.

556394496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 790 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 51.

The square root of 556394496 is about 23588.0159403032. The cubic root of 556394496 is about 822.4842843362.

The spelling of 556394496 in words is "five hundred fifty-six million, three hundred ninety-four thousand, four hundred ninety-six".