54408016 has 20 divisors (see below), whose sum is σ = 113524852. Its totient is φ = 25111296.

The previous prime is 54407987. The next prime is 54408017. The reversal of 54408016 is 61080445.

54408016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 15968016 + 38440000 = 3996^2 + 6200^2 .

It is a super-5 number, since 5×54408016⁵ (a number of 40 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54408017) 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 3 ways as a sum of consecutive naturals, for example, 130581 + ... + 130996.

Almost surely, 2^54408016 is an apocalyptic number.

It is an amenable number.

54408016 is an abundant number, since it is smaller than the sum of its proper divisors (59116836).

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

54408016 is a wasteful number, since it uses less digits than its factorization.

54408016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261598 (or 261592 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 54408016 is about 7376.1789566143. The cubic root of 54408016 is about 378.9259049951.

It can be divided in two parts, 5440 and 8016, that added together give a square (13456 = 116²).

The spelling of 54408016 in words is "fifty-four million, four hundred eight thousand, sixteen".