554640800 has 108 divisors (see below), whose sum is σ = 1575192150. Its totient is φ = 190149120.

The previous prime is 554640763. The next prime is 554640803. The reversal of 554640800 is 8046455.

It can be written as a sum of positive squares in 3 ways, for example, as 515653264 + 38987536 = 22708^2 + 6244^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (554640803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32126 + ... + 46274.

Almost surely, 2^554640800 is an apocalyptic number.

554640800 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 554640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787596075).

554640800 is an abundant number, since it is smaller than the sum of its proper divisors (1020551350).

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

554640800 is a wasteful number, since it uses less digits than its factorization.

554640800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14183 (or 14163 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 554640800 is about 23550.8131494435. The cubic root of 554640800 is about 821.6192473369.

The spelling of 554640800 in words is "five hundred fifty-four million, six hundred forty thousand, eight hundred".