546301600 has 72 divisors (see below), whose sum is σ = 1436275260. Its totient is φ = 201707520.

The previous prime is 546301573. The next prime is 546301603. The reversal of 546301600 is 6103645.

It can be written as a sum of positive squares in 6 ways, for example, as 10471696 + 535829904 = 3236^2 + 23148^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (546301603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15865 + ... + 36664.

Almost surely, 2^546301600 is an apocalyptic number.

546301600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

546301600 is an abundant number, since it is smaller than the sum of its proper divisors (889973660).

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

546301600 is a wasteful number, since it uses less digits than its factorization.

546301600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52562 (or 52549 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 546301600 is about 23373.0956443514. The cubic root of 546301600 is about 817.4806674003.

The spelling of 546301600 in words is "five hundred forty-six million, three hundred one thousand, six hundred".