545626800 has 240 divisors, whose sum is σ = 2045008000. Its totient is φ = 137790720.

The previous prime is 545626789. The next prime is 545626801. The reversal of 545626800 is 8626545.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (545626801) 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 47 ways as a sum of consecutive naturals, for example, 203871 + ... + 206529.

Almost surely, 2^545626800 is an apocalyptic number.

545626800 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 545626800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022504000).

545626800 is an abundant number, since it is smaller than the sum of its proper divisors (1499381200).

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

545626800 is a wasteful number, since it uses less digits than its factorization.

545626800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 545626800 is about 23358.6557832423. The cubic root of 545626800 is about 817.1439405568.

The spelling of 545626800 in words is "five hundred forty-five million, six hundred twenty-six thousand, eight hundred".