546450204900 has 576 divisors, whose sum is σ = 1813233945600. Its totient is φ = 126200954880.

The previous prime is 546450204893. The next prime is 546450204901. The reversal of 546450204900 is 9402054645.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (546450204901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1304176891 + ... + 1304177309.

It is an arithmetic number, because the mean of its divisors is an integer number (3147975600).

Almost surely, 2^546450204900 is an apocalyptic number.

546450204900 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 546450204900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906616972800).

546450204900 is an abundant number, since it is smaller than the sum of its proper divisors (1266783740700).

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

546450204900 is a wasteful number, since it uses less digits than its factorization.

546450204900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 546450204900 in words is "five hundred forty-six billion, four hundred fifty million, two hundred four thousand, nine hundred".