545448960 has 528 divisors, whose sum is σ = 2299190400. Its totient is φ = 116785152.

The previous prime is 545448949. The next prime is 545448973. The reversal of 545448960 is 69844545.

545448960 = 2349² + 2350² + ... + 2443².

545448960 is a `hidden beast` number, since 545 + 4 + 48 + 9 + 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 an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6128596 + ... + 6128684.

Almost surely, 2^545448960 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 545448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149595200).

545448960 is an abundant number, since it is smaller than the sum of its proper divisors (1753741440).

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

545448960 is a wasteful number, since it uses less digits than its factorization.

545448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 545448960 is about 23354.8487471017. The cubic root of 545448960 is about 817.0551517426.

It can be divided in two parts, 54544 and 8960, that added together give a square (63504 = 252²).

The spelling of 545448960 in words is "five hundred forty-five million, four hundred forty-eight thousand, nine hundred sixty".