546228000 has 144 divisors (see below), whose sum is σ = 1938690936. Its totient is φ = 145651200.

The previous prime is 546227993. The next prime is 546228043. The reversal of 546228000 is 822645.

It can be written as a sum of positive squares in 4 ways, for example, as 295702416 + 250525584 = 17196^2 + 15828^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 28414 + ... + 43586.

Almost surely, 2^546228000 is an apocalyptic number.

546228000 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 546228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969345468).

546228000 is an abundant number, since it is smaller than the sum of its proper divisors (1392462936).

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

546228000 is a wasteful number, since it uses less digits than its factorization.

546228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15204 (or 15183 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 546228000 is about 23371.5211314968. The cubic root of 546228000 is about 817.4439542982.

The spelling of 546228000 in words is "five hundred forty-six million, two hundred twenty-eight thousand".