54400221 has 32 divisors (see below), whose sum is σ = 89061120. Its totient is φ = 32643072.

The previous prime is 54400193. The next prime is 54400223. The reversal of 54400221 is 12200445.

54400221 is a `hidden beast` number, since 5 + 440 + 0 + 221 = 666.

It is not a de Polignac number, because 54400221 - 2⁵ = 54400189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54400194 and 54400203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54400223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7981 + ... + 13133.

It is an arithmetic number, because the mean of its divisors is an integer number (2783160).

Almost surely, 2^54400221 is an apocalyptic number.

54400221 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

54400221 is a deficient number, since it is larger than the sum of its proper divisors (34660899).

54400221 is a wasteful number, since it uses less digits than its factorization.

54400221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5202 (or 5196 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 54400221 is about 7375.6505475788. The cubic root of 54400221 is about 378.9078079773.

Adding to 54400221 its reverse (12200445), we get a palindrome (66600666).

The spelling of 54400221 in words is "fifty-four million, four hundred thousand, two hundred twenty-one".