553504000 has 216 divisors, whose sum is σ = 1608509448. Its totient is φ = 189235200.

The previous prime is 553503997. The next prime is 553504013. The reversal of 553504000 is 405355.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36578304 + 516925696 = 6048^2 + 22736^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1567824 + ... + 1568176.

It is an arithmetic number, because the mean of its divisors is an integer number (7446803).

Almost surely, 2^553504000 is an apocalyptic number.

553504000 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 553504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804254724).

553504000 is an abundant number, since it is smaller than the sum of its proper divisors (1055005448).

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

553504000 is an equidigital number, since it uses as much as digits as its factorization.

553504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 22.

The square root of 553504000 is about 23526.6657221120. The cubic root of 553504000 is about 821.0575290664.

Adding to 553504000 its reverse (405355), we get a palindrome (553909355).

The spelling of 553504000 in words is "five hundred fifty-three million, five hundred four thousand".