556284000 has 192 divisors, whose sum is σ = 1840430592. Its totient is φ = 146880000.

The previous prime is 556283999. The next prime is 556284019. The reversal of 556284000 is 482655.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1811847 + ... + 1812153.

It is an arithmetic number, because the mean of its divisors is an integer number (9585576).

Almost surely, 2^556284000 is an apocalyptic number.

556284000 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 556284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920215296).

556284000 is an abundant number, since it is smaller than the sum of its proper divisors (1284146592).

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

556284000 is a wasteful number, since it uses less digits than its factorization.

556284000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 556284000 is about 23585.6736176858. The cubic root of 556284000 is about 822.4298342167.

The spelling of 556284000 in words is "five hundred fifty-six million, two hundred eighty-four thousand".