54415520 has 48 divisors (see below), whose sum is σ = 129185280. Its totient is φ = 21659904.

The previous prime is 54415483. The next prime is 54415531. The reversal of 54415520 is 2551445.

It is a super-3 number, since 3×54415520³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 54415520.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 37529 + ... + 38951.

It is an arithmetic number, because the mean of its divisors is an integer number (2691360).

Almost surely, 2^54415520 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 54415520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64592640).

54415520 is an abundant number, since it is smaller than the sum of its proper divisors (74769760).

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

54415520 is a wasteful number, since it uses less digits than its factorization.

54415520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 54415520 is about 7376.6876035250. The cubic root of 54415520 is about 378.9433247890.

Adding to 54415520 its reverse (2551445), we get a palindrome (56966965).

The spelling of 54415520 in words is "fifty-four million, four hundred fifteen thousand, five hundred twenty".