553504 has 36 divisors (see below), whose sum is σ = 1271214. Its totient is φ = 236544.

The previous prime is 553481. The next prime is 553507. The reversal of 553504 is 405355.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 490000 + 63504 = 700^2 + 252^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (553507) by changing a digit.

553504 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1392 + ... + 1744.

2⁵⁵³⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635607).

553504 is an abundant number, since it is smaller than the sum of its proper divisors (717710).

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

553504 is a wasteful number, since it uses less digits than its factorization.

553504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 362 counting only the distinct ones).

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

The square root of 553504 is about 743.9784943128. The cubic root of 553504 is about 82.1057529066.

Adding to 553504 its reverse (405355), we get a palindrome (958859).

The spelling of 553504 in words is "five hundred fifty-three thousand, five hundred four".