546988800 has 216 divisors, whose sum is σ = 1865436160. Its totient is φ = 141004800.

The previous prime is 546988759. The next prime is 546988801. The reversal of 546988800 is 8889645.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 546988800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (546988801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594741 + ... + 595659.

Almost surely, 2^546988800 is an apocalyptic number.

546988800 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 546988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932718080).

546988800 is an abundant number, since it is smaller than the sum of its proper divisors (1318447360).

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

546988800 is a wasteful number, since it uses less digits than its factorization.

546988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 546988800 is about 23387.7916871174. The cubic root of 546988800 is about 817.8232970182.

The spelling of 546988800 in words is "five hundred forty-six million, nine hundred eighty-eight thousand, eight hundred".