54342432 has 72 divisors (see below), whose sum is σ = 162686160. Its totient is φ = 17159040.

The previous prime is 54342419. The next prime is 54342439. The reversal of 54342432 is 23424345.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 54342396 and 54342405.

It is not an unprimeable number, because it can be changed into a prime (54342439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 507 + ... + 10437.

It is an arithmetic number, because the mean of its divisors is an integer number (2259530).

Almost surely, 2^54342432 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 54342432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81343080).

54342432 is an abundant number, since it is smaller than the sum of its proper divisors (108343728).

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

54342432 is a wasteful number, since it uses less digits than its factorization.

54342432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9966 (or 9955 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 54342432 is about 7371.7319538898. The cubic root of 54342432 is about 378.7735900087.

Adding to 54342432 its reverse (23424345), we get a palindrome (77766777).

The spelling of 54342432 in words is "fifty-four million, three hundred forty-two thousand, four hundred thirty-two".