54519424 has 32 divisors (see below), whose sum is σ = 109440900. Its totient is φ = 27052032.

The previous prime is 54519419. The next prime is 54519461. The reversal of 54519424 is 42491545.

It can be written as a sum of positive squares in 2 ways, for example, as 53582400 + 937024 = 7320^2 + 968^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 54519424.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15982 + ... + 19090.

Almost surely, 2^54519424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54519424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54720450).

54519424 is an abundant number, since it is smaller than the sum of its proper divisors (54921476).

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

54519424 is a wasteful number, since it uses less digits than its factorization.

54519424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260 (or 3248 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 54519424 is about 7383.7269722004. The cubic root of 54519424 is about 379.1843632095.

The spelling of 54519424 in words is "fifty-four million, five hundred nineteen thousand, four hundred twenty-four".