553623400 has 72 divisors (see below), whose sum is σ = 1414889910. Its totient is φ = 201308800.

The previous prime is 553623361. The next prime is 553623401. The reversal of 553623400 is 4326355.

It can be written as a sum of positive squares in 3 ways, for example, as 500595876 + 53027524 = 22374^2 + 7282^2 .

It is not an unprimeable number, because it can be changed into a prime (553623401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12762 + ... + 35638.

Almost surely, 2^553623400 is an apocalyptic number.

553623400 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 553623400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707444955).

553623400 is an abundant number, since it is smaller than the sum of its proper divisors (861266510).

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

553623400 is a wasteful number, since it uses less digits than its factorization.

553623400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22915 (or 22895 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 553623400 is about 23529.2031314280. The cubic root of 553623400 is about 821.1165634007.

Adding to 553623400 its reverse (4326355), we get a palindrome (557949755).

The spelling of 553623400 in words is "five hundred fifty-three million, six hundred twenty-three thousand, four hundred".