546096000 has 256 divisors, whose sum is σ = 1873797120. Its totient is φ = 140544000.

The previous prime is 546095983. The next prime is 546096059. The reversal of 546096000 is 690645.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1487817 + ... + 1488183.

It is an arithmetic number, because the mean of its divisors is an integer number (7319520).

Almost surely, 2^546096000 is an apocalyptic number.

546096000 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 546096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936898560).

546096000 is an abundant number, since it is smaller than the sum of its proper divisors (1327701120).

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

546096000 is a wasteful number, since it uses less digits than its factorization.

546096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 546096000 is about 23368.6970111729. The cubic root of 546096000 is about 817.3781018855.

The spelling of 546096000 in words is "five hundred forty-six million, ninety-six thousand".