554434400 has 144 divisors (see below), whose sum is σ = 1476468000. Its totient is φ = 202076160.

The previous prime is 554434393. The next prime is 554434423. The reversal of 554434400 is 4434455.

554434400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 925301 + ... + 925899.

It is an arithmetic number, because the mean of its divisors is an integer number (10253250).

Almost surely, 2^554434400 is an apocalyptic number.

554434400 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 554434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738234000).

554434400 is an abundant number, since it is smaller than the sum of its proper divisors (922033600).

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

554434400 is a wasteful number, since it uses less digits than its factorization.

554434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

The square root of 554434400 is about 23546.4307273948. The cubic root of 554434400 is about 821.5173175518.

Adding to 554434400 its reverse (4434455), we get a palindrome (558868855).

Subtracting from 554434400 its reverse (4434455), we obtain a palindrome (549999945).

The spelling of 554434400 in words is "five hundred fifty-four million, four hundred thirty-four thousand, four hundred".