54400320 has 168 divisors, whose sum is σ = 201646536. Its totient is φ = 13381632.

The previous prime is 54400309. The next prime is 54400321. The reversal of 54400320 is 2300445.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9884736 + 44515584 = 3144^2 + 6672^2 .

It is a super-2 number, since 2×54400320² = 5918789632204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 54400293 and 54400302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54400321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36714 + ... + 38166.

It is an arithmetic number, because the mean of its divisors is an integer number (1200277).

Almost surely, 2^54400320 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 54400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100823268).

54400320 is an abundant number, since it is smaller than the sum of its proper divisors (147246216).

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

54400320 is a wasteful number, since it uses less digits than its factorization.

54400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 54400320 is about 7375.6572588482. The cubic root of 54400320 is about 378.9080378284.

Adding to 54400320 its reverse (2300445), we get a palindrome (56700765).

The spelling of 54400320 in words is "fifty-four million, four hundred thousand, three hundred twenty".