554936800 has 144 divisors (see below), whose sum is σ = 1556150400. Its totient is φ = 191116800.

The previous prime is 554936791. The next prime is 554936807. The reversal of 554936800 is 8639455.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (554936807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165541 + ... + 168859.

It is an arithmetic number, because the mean of its divisors is an integer number (10806600).

Almost surely, 2^554936800 is an apocalyptic number.

554936800 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 554936800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778075200).

554936800 is an abundant number, since it is smaller than the sum of its proper divisors (1001213600).

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

554936800 is a wasteful number, since it uses less digits than its factorization.

554936800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369 (or 3356 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 554936800 is about 23557.0965952937. The cubic root of 554936800 is about 821.7653815837.

The spelling of 554936800 in words is "five hundred fifty-four million, nine hundred thirty-six thousand, eight hundred".