54007424 has 64 divisors (see below), whose sum is σ = 115668000. Its totient is φ = 25039872.

The previous prime is 54007423. The next prime is 54007439. The reversal of 54007424 is 42470045.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 54007393 and 54007402.

It is not an unprimeable number, because it can be changed into a prime (54007423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128687 + ... + 129105.

Almost surely, 2^54007424 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 54007424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57834000).

54007424 is an abundant number, since it is smaller than the sum of its proper divisors (61660576).

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

54007424 is a wasteful number, since it uses less digits than its factorization.

54007424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 26.

The square root of 54007424 is about 7348.9743502070. The cubic root of 54007424 is about 377.9936357560.

Adding to 54007424 its reverse (42470045), we get a palindrome (96477469).

The spelling of 54007424 in words is "fifty-four million, seven thousand, four hundred twenty-four".