546808320 has 280 divisors, whose sum is σ = 1972397196. Its totient is φ = 145317888.

The previous prime is 546808313. The next prime is 546808321. The reversal of 546808320 is 23808645.

546808320 is a `hidden beast` number, since 546 + 80 + 8 + 32 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 524226816 + 22581504 = 22896^2 + 4752^2 .

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

It is not an unprimeable number, because it can be changed into a prime (546808321) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1866094 + ... + 1866386.

Almost surely, 2^546808320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 546808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986198598).

546808320 is an abundant number, since it is smaller than the sum of its proper divisors (1425588876).

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

546808320 is an frugal number, since it uses more digits than its factorization.

546808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 546808320 is about 23383.9329455077. The cubic root of 546808320 is about 817.7333396703.

The spelling of 546808320 in words is "five hundred forty-six million, eight hundred eight thousand, three hundred twenty".