553856800 has 216 divisors, whose sum is σ = 1603022400. Its totient is φ = 186278400.

The previous prime is 553856749. The next prime is 553856803. The reversal of 553856800 is 8658355.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (553856803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2783101 + ... + 2783299.

It is an arithmetic number, because the mean of its divisors is an integer number (7421400).

Almost surely, 2^553856800 is an apocalyptic number.

553856800 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 553856800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801511200).

553856800 is an abundant number, since it is smaller than the sum of its proper divisors (1049165600).

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

553856800 is a wasteful number, since it uses less digits than its factorization.

553856800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The square root of 553856800 is about 23534.1624027710. The cubic root of 553856800 is about 821.2319376666.

The spelling of 553856800 in words is "five hundred fifty-three million, eight hundred fifty-six thousand, eight hundred".