54806900 has 18 divisors (see below), whose sum is σ = 118931190. Its totient is φ = 21922720.

The previous prime is 54806881. The next prime is 54806909. The reversal of 54806900 is 960845.

It can be written as a sum of positive squares in 3 ways, for example, as 14915044 + 39891856 = 3862^2 + 6316^2 .

It is a super-2 number, since 2×54806900² = 6007592575220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54806909) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 273935 + ... + 274134.

Almost surely, 2^54806900 is an apocalyptic number.

54806900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54806900 is an abundant number, since it is smaller than the sum of its proper divisors (64124290).

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

54806900 is a wasteful number, since it uses less digits than its factorization.

54806900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548083 (or 548076 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 54806900 is about 7403.1682406926. The cubic root of 54806900 is about 379.8496635231.

The spelling of 54806900 in words is "fifty-four million, eight hundred six thousand, nine hundred".