553842000 has 240 divisors, whose sum is σ = 2002974480. Its totient is φ = 142464000.

The previous prime is 553841999. The next prime is 553842007. The reversal of 553842000 is 248355.

It can be written as a sum of positive squares in 8 ways, for example, as 133263936 + 420578064 = 11544^2 + 20508^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553842007) 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 47 ways as a sum of consecutive naturals, for example, 521470 + ... + 522530.

It is an arithmetic number, because the mean of its divisors is an integer number (8345727).

Almost surely, 2^553842000 is an apocalyptic number.

553842000 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 553842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001487240).

553842000 is an abundant number, since it is smaller than the sum of its proper divisors (1449132480).

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

553842000 is a wasteful number, since it uses less digits than its factorization.

553842000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 553842000 is about 23533.8479641558. The cubic root of 553842000 is about 821.2246226946.

The spelling of 553842000 in words is "five hundred fifty-three million, eight hundred forty-two thousand".