555940800 has 336 divisors, whose sum is σ = 2148657120. Its totient is φ = 139345920.

The previous prime is 555940793. The next prime is 555940811. The reversal of 555940800 is 8049555.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 734022 + ... + 734778.

Almost surely, 2^555940800 is an apocalyptic number.

555940800 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 555940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074328560).

555940800 is an abundant number, since it is smaller than the sum of its proper divisors (1592716320).

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

555940800 is a wasteful number, since it uses less digits than its factorization.

555940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 555940800 is about 23578.3968920705. The cubic root of 555940800 is about 822.2606664383.

The spelling of 555940800 in words is "five hundred fifty-five million, nine hundred forty thousand, eight hundred".