545196960 has 576 divisors, whose sum is σ = 2413152000. Its totient is φ = 112527360.

The previous prime is 545196959. The next prime is 545196983. The reversal of 545196960 is 69691545.

It is a happy number.

545196960 is a `hidden beast` number, since 545 + 19 + 6 + 96 + 0 = 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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3658966 + ... + 3659114.

It is an arithmetic number, because the mean of its divisors is an integer number (4189500).

Almost surely, 2^545196960 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 545196960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206576000).

545196960 is an abundant number, since it is smaller than the sum of its proper divisors (1867955040).

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

545196960 is a wasteful number, since it uses less digits than its factorization.

545196960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 545196960 is about 23349.4530985203. The cubic root of 545196960 is about 816.9293045781.

The spelling of 545196960 in words is "five hundred forty-five million, one hundred ninety-six thousand, nine hundred sixty".