546364800 has 288 divisors, whose sum is σ = 1987886160. Its totient is φ = 142848000.

The previous prime is 546364787. The next prime is 546364807. The reversal of 546364800 is 8463645.

546364800 is a `hidden beast` number, since 5 + 4 + 6 + 3 + 648 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (546364807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1756645 + ... + 1756955.

Almost surely, 2^546364800 is an apocalyptic number.

546364800 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 546364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993943080).

546364800 is an abundant number, since it is smaller than the sum of its proper divisors (1441521360).

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

546364800 is a wasteful number, since it uses less digits than its factorization.

546364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 546364800 is about 23374.4475870554. The cubic root of 546364800 is about 817.5121901501.

The spelling of 546364800 in words is "five hundred forty-six million, three hundred sixty-four thousand, eight hundred".