54417920 has 80 divisors (see below), whose sum is σ = 135158760. Its totient is φ = 20987904.

The previous prime is 54417911. The next prime is 54417941. The reversal of 54417920 is 2971445.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 53465344 + 952576 = 7312^2 + 976^2 .

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

It is a super-2 number, since 2×54417920² = 5922620034252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 73874 + ... + 74606.

Almost surely, 2^54417920 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 54417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67579380).

54417920 is an abundant number, since it is smaller than the sum of its proper divisors (80740840).

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

54417920 is an equidigital number, since it uses as much as digits as its factorization.

54417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 54417920 is about 7376.8502763713. The cubic root of 54417920 is about 378.9488958136.

The spelling of 54417920 in words is "fifty-four million, four hundred seventeen thousand, nine hundred twenty".