546624000 has 480 divisors, whose sum is σ = 2149331184. Its totient is φ = 132710400.

The previous prime is 546623999. The next prime is 546624007. The reversal of 546624000 is 426645.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 186624 + 546437376 = 432^2 + 23376^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (546624007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7487964 + ... + 7488036.

Almost surely, 2^546624000 is an apocalyptic number.

546624000 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 546624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074665592).

546624000 is an abundant number, since it is smaller than the sum of its proper divisors (1602707184).

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

546624000 is a wasteful number, since it uses less digits than its factorization.

546624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 546624000 is about 23379.9914456785. The cubic root of 546624000 is about 817.6414479034.

The spelling of 546624000 in words is "five hundred forty-six million, six hundred twenty-four thousand".