546561000 has 256 divisors, whose sum is σ = 1958860800. Its totient is φ = 140832000.

The previous prime is 546560981. The next prime is 546561007. The reversal of 546561000 is 165645.

It is a happy number.

546561000 is a `hidden beast` number, since 5 + 4 + 656 + 1 + 0 + 0 + 0 = 666.

546561000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (546561007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 836674 + ... + 837326.

It is an arithmetic number, because the mean of its divisors is an integer number (7651800).

Almost surely, 2^546561000 is an apocalyptic number.

546561000 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 546561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979430400).

546561000 is an abundant number, since it is smaller than the sum of its proper divisors (1412299800).

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

546561000 is a wasteful number, since it uses less digits than its factorization.

546561000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 546561000 is about 23378.6441009739. The cubic root of 546561000 is about 817.6100348479.

The spelling of 546561000 in words is "five hundred forty-six million, five hundred sixty-one thousand".