545832000 has 672 divisors, whose sum is σ = 2415479040. Its totient is φ = 118195200.

The previous prime is 545831999. The next prime is 545832017. The reversal of 545832000 is 238545.

545832000 is a `hidden beast` number, since 5 + 458 + 3 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28727991 + ... + 28728009.

Almost surely, 2^545832000 is an apocalyptic number.

545832000 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 545832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207739520).

545832000 is an abundant number, since it is smaller than the sum of its proper divisors (1869647040).

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

545832000 is a wasteful number, since it uses less digits than its factorization.

545832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 545832000 is about 23363.0477463879. The cubic root of 545832000 is about 817.2463652183.

The spelling of 545832000 in words is "five hundred forty-five million, eight hundred thirty-two thousand".