550468800 has 504 divisors, whose sum is σ = 2306011136. Its totient is φ = 121927680.

The previous prime is 550468799. The next prime is 550468801. The reversal of 550468800 is 8864055.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (550468799) and next prime (550468801).

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (550468801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4334337 + ... + 4334463.

Almost surely, 2^550468800 is an apocalyptic number.

550468800 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 550468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153005568).

550468800 is an abundant number, since it is smaller than the sum of its proper divisors (1755542336).

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

550468800 is a wasteful number, since it uses less digits than its factorization.

550468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 550468800 is about 23462.0715197955. The cubic root of 550468800 is about 819.5539910449.

The spelling of 550468800 in words is "five hundred fifty million, four hundred sixty-eight thousand, eight hundred".