545088960 has 448 divisors, whose sum is σ = 2171151360. Its totient is φ = 127733760.

The previous prime is 545088949. The next prime is 545088961. The reversal of 545088960 is 69880545.

545088960 is a `hidden beast` number, since 5 + 4 + 508 + 89 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545088961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2583255 + ... + 2583465.

It is an arithmetic number, because the mean of its divisors is an integer number (4846320).

Almost surely, 2^545088960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085575680).

545088960 is an abundant number, since it is smaller than the sum of its proper divisors (1626062400).

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

545088960 is a wasteful number, since it uses less digits than its factorization.

545088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 545088960 is about 23347.1402959763. The cubic root of 545088960 is about 816.8753582078.

The spelling of 545088960 in words is "five hundred forty-five million, eighty-eight thousand, nine hundred sixty".