546624400 has 135 divisors (see below), whose sum is σ = 1536878289. Its totient is φ = 186291840.

The previous prime is 546624389. The next prime is 546624431. The reversal of 546624400 is 4426645.

The square root of 546624400 is 23380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 196784784 + 349839616 = 14028^2 + 18704^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3273117 + ... + 3273283.

Almost surely, 2^546624400 is an apocalyptic number.

546624400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

546624400 is the 23380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 546624400

546624400 is an abundant number, since it is smaller than the sum of its proper divisors (990253889).

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

546624400 is a wasteful number, since it uses less digits than its factorization.

546624400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The cubic root of 546624400 is about 817.6416473437.

The spelling of 546624400 in words is "five hundred forty-six million, six hundred twenty-four thousand, four hundred".