545500800 has 576 divisors, whose sum is σ = 2209858560. Its totient is φ = 127180800.

The previous prime is 545500789. The next prime is 545500807. The reversal of 545500800 is 8005545.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×545500800² = 595142245601280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (545500807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11606377 + ... + 11606423.

It is an arithmetic number, because the mean of its divisors is an integer number (3836560).

Almost surely, 2^545500800 is an apocalyptic number.

545500800 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 545500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104929280).

545500800 is an abundant number, since it is smaller than the sum of its proper divisors (1664357760).

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

545500800 is a wasteful number, since it uses less digits than its factorization.

545500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 545500800 is about 23355.9585545102. The cubic root of 545500800 is about 817.0810354949.

The spelling of 545500800 in words is "five hundred forty-five million, five hundred thousand, eight hundred".