54405200 has 30 divisors (see below), whose sum is σ = 130709454. Its totient is φ = 21761920.

The previous prime is 54405199. The next prime is 54405269. The reversal of 54405200 is 250445.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1056784 + 53348416 = 1028^2 + 7304^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent 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 5 ways as a sum of consecutive naturals, for example, 67607 + ... + 68406.

Almost surely, 2^54405200 is an apocalyptic number.

54405200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54405200 is an abundant number, since it is smaller than the sum of its proper divisors (76304254).

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

54405200 is a wasteful number, since it uses less digits than its factorization.

54405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136031 (or 136020 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 54405200 is about 7375.9880694047. The cubic root of 54405200 is about 378.9193675163.

Adding to 54405200 its reverse (250445), we get a palindrome (54655645).

The spelling of 54405200 in words is "fifty-four million, four hundred five thousand, two hundred".