546616800 has 324 divisors, whose sum is σ = 2016902160. Its totient is φ = 139276800.

The previous prime is 546616789. The next prime is 546616801. The reversal of 546616800 is 8616645.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (546616801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6919161 + ... + 6919239.

Almost surely, 2^546616800 is an apocalyptic number.

546616800 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 546616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008451080).

546616800 is an abundant number, since it is smaller than the sum of its proper divisors (1470285360).

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

546616800 is a wasteful number, since it uses less digits than its factorization.

546616800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 546616800 is about 23379.8374673564. The cubic root of 546616800 is about 817.6378579621.

The spelling of 546616800 in words is "five hundred forty-six million, six hundred sixteen thousand, eight hundred".