546984000 has 336 divisors, whose sum is σ = 2002755456. Its totient is φ = 142464000.

The previous prime is 546983977. The next prime is 546984013. The reversal of 546984000 is 489645.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5111947 + ... + 5112053.

Almost surely, 2^546984000 is an apocalyptic number.

546984000 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 546984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001377728).

546984000 is an abundant number, since it is smaller than the sum of its proper divisors (1455771456).

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

546984000 is a wasteful number, since it uses less digits than its factorization.

546984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 188 counting only the distinct ones).

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

The square root of 546984000 is about 23387.6890692518. The cubic root of 546984000 is about 817.8209047917.

The spelling of 546984000 in words is "five hundred forty-six million, nine hundred eighty-four thousand".