545445600 has 144 divisors (see below), whose sum is σ = 2029120128. Its totient is φ = 124669440.

The previous prime is 545445587. The next prime is 545445613. The reversal of 545445600 is 6544545.

It is an interprime number because it is at equal distance from previous prime (545445587) and next prime (545445613).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 567 + ... + 33033.

It is an arithmetic number, because the mean of its divisors is an integer number (14091112).

Almost surely, 2^545445600 is an apocalyptic number.

545445600 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 545445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014560064).

545445600 is an abundant number, since it is smaller than the sum of its proper divisors (1483674528).

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

545445600 is a wasteful number, since it uses less digits than its factorization.

545445600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32497 (or 32484 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 545445600 is about 23354.7768133202. The cubic root of 545445600 is about 817.0534740354.

The spelling of 545445600 in words is "five hundred forty-five million, four hundred forty-five thousand, six hundred".