545984000 has 160 divisors (see below), whose sum is σ = 1436292000. Its totient is φ = 206438400.

The previous prime is 545983993. The next prime is 545984011. The reversal of 545984000 is 489545.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1215776 + ... + 1216224.

It is an arithmetic number, because the mean of its divisors is an integer number (8976825).

Almost surely, 2^545984000 is an apocalyptic number.

545984000 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 545984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718146000).

545984000 is an abundant number, since it is smaller than the sum of its proper divisors (890308000).

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

545984000 is an equidigital number, since it uses as much as digits as its factorization.

545984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 545984000 is about 23366.3005201936. The cubic root of 545984000 is about 817.3222187889.

The spelling of 545984000 in words is "five hundred forty-five million, nine hundred eighty-four thousand".