550400400 has 480 divisors, whose sum is σ = 2208608640. Its totient is φ = 129024000.

The previous prime is 550400399. The next prime is 550400413. The reversal of 550400400 is 4004055.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 4870744 + ... + 4870856.

It is an arithmetic number, because the mean of its divisors is an integer number (4601268).

Almost surely, 2^550400400 is an apocalyptic number.

550400400 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 550400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104304320).

550400400 is an abundant number, since it is smaller than the sum of its proper divisors (1658208240).

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

550400400 is a wasteful number, since it uses less digits than its factorization.

550400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 550400400 is about 23460.6138027120. The cubic root of 550400400 is about 819.5200443344.

Adding to 550400400 its reverse (4004055), we get a palindrome (554404455).

It can be divided in two parts, 5 and 50400400, that added together give a palindrome (50400405).

The spelling of 550400400 in words is "five hundred fifty million, four hundred thousand, four hundred".