54115440 has 80 divisors (see below), whose sum is σ = 168465408. Its totient is φ = 14370048.

The previous prime is 54115417. The next prime is 54115441. The reversal of 54115440 is 4451145.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 54115440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54115441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110877 + ... + 111363.

Almost surely, 2^54115440 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 54115440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84232704).

54115440 is an abundant number, since it is smaller than the sum of its proper divisors (114349968).

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

54115440 is a wasteful number, since it uses less digits than its factorization.

54115440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 54115440 is about 7356.3197320399. The cubic root of 54115440 is about 378.2454663864.

Adding to 54115440 its reverse (4451145), we get a palindrome (58566585).

The spelling of 54115440 in words is "fifty-four million, one hundred fifteen thousand, four hundred forty".