54405120 has 384 divisors, whose sum is σ = 226437120. Its totient is φ = 10813440.

The previous prime is 54405103. The next prime is 54405121. The reversal of 54405120 is 2150445.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (54405121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2365429 + ... + 2365451.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 2^54405120 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 54405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

54405120 is an abundant number, since it is smaller than the sum of its proper divisors (172032000).

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

54405120 is a wasteful number, since it uses less digits than its factorization.

54405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 54405120 is about 7375.9826464004. The cubic root of 54405120 is about 378.9191817891.

Adding to 54405120 its reverse (2150445), we get a palindrome (56555565).

The spelling of 54405120 in words is "fifty-four million, four hundred five thousand, one hundred twenty".