546289920 has 360 divisors, whose sum is σ = 2136879360. Its totient is φ = 132157440.

The previous prime is 546289903. The next prime is 546289937. The reversal of 546289920 is 29982645.

546289920 is a `hidden beast` number, since 546 + 2 + 89 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (546289903) and next prime (546289937).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1140241 + ... + 1140719.

It is an arithmetic number, because the mean of its divisors is an integer number (5935776).

Almost surely, 2^546289920 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 546289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068439680).

546289920 is an abundant number, since it is smaller than the sum of its proper divisors (1590589440).

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

546289920 is a wasteful number, since it uses less digits than its factorization.

546289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 546289920 is about 23372.8457830877. The cubic root of 546289920 is about 817.4748414108.

The spelling of 546289920 in words is "five hundred forty-six million, two hundred eighty-nine thousand, nine hundred twenty".