54434016 has 288 divisors, whose sum is σ = 199600128. Its totient is φ = 13685760.

The previous prime is 54433999. The next prime is 54434041. The reversal of 54434016 is 61043445.

54434016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 812415 + ... + 812481.

It is an arithmetic number, because the mean of its divisors is an integer number (693056).

Almost surely, 2^54434016 is an apocalyptic number.

54434016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54434016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99800064).

54434016 is an abundant number, since it is smaller than the sum of its proper divisors (145166112).

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

54434016 is a wasteful number, since it uses less digits than its factorization.

54434016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 54434016 is about 7377.9411762361. The cubic root of 54434016 is about 378.9862545865.

The spelling of 54434016 in words is "fifty-four million, four hundred thirty-four thousand, sixteen".