545856000 has 160 divisors (see below), whose sum is σ = 1815473088. Its totient is φ = 145510400.

The previous prime is 545855983. The next prime is 545856007. The reversal of 545856000 is 658545.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (545856007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190579 + ... + 193421.

Almost surely, 2^545856000 is an apocalyptic number.

545856000 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 545856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907736544).

545856000 is an abundant number, since it is smaller than the sum of its proper divisors (1269617088).

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

545856000 is an equidigital number, since it uses as much as digits as its factorization.

545856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 545856000 is about 23363.5613723593. The cubic root of 545856000 is about 817.2583430340.

The spelling of 545856000 in words is "five hundred forty-five million, eight hundred fifty-six thousand".