556920000 has 840 divisors, whose sum is σ = 2599492896. Its totient is φ = 110592000.

The previous prime is 556919947. The next prime is 556920037. The reversal of 556920000 is 29655.

It is a tau number, because it is divible by the number of its divisors (840).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32759992 + ... + 32760008.

Almost surely, 2^556920000 is an apocalyptic number.

556920000 is a gapful number since it is divisible by the number (50) 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 556920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299746448).

556920000 is an abundant number, since it is smaller than the sum of its proper divisors (2042572896).

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

556920000 is a wasteful number, since it uses less digits than its factorization.

556920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 556920000 is about 23599.1525271566. The cubic root of 556920000 is about 822.7431431026.

Adding to 556920000 its reverse (29655), we get a palindrome (556949655).

The spelling of 556920000 in words is "five hundred fifty-six million, nine hundred twenty thousand".