550368000 has 864 divisors, whose sum is σ = 2544534720. Its totient is φ = 116121600.

The previous prime is 550367947. The next prime is 550368031. The reversal of 550368000 is 863055.

550368000 is a `hidden beast` number, since 550 + 36 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42335994 + ... + 42336006.

Almost surely, 2^550368000 is an apocalyptic number.

550368000 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 550368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272267360).

550368000 is an abundant number, since it is smaller than the sum of its proper divisors (1994166720).

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

550368000 is a wasteful number, since it uses less digits than its factorization.

550368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 550368000 is about 23459.9232735318. The cubic root of 550368000 is about 819.5039633319.

Adding to 550368000 its product of nonzero digits (3600), we get a square (550371600 = 23460²).

It can be divided in two parts, 55036 and 8000, that added together give a palindrome (63036).

The spelling of 550368000 in words is "five hundred fifty million, three hundred sixty-eight thousand".