54585480 has 128 divisors (see below), whose sum is σ = 174960000. Its totient is φ = 13584384.

The previous prime is 54585467. The next prime is 54585481. The reversal of 54585480 is 8458545.

It is not an unprimeable number, because it can be changed into a prime (54585481) 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, 202786 + ... + 203054.

It is an arithmetic number, because the mean of its divisors is an integer number (1366875).

Almost surely, 2^54585480 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 54585480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87480000).

54585480 is an abundant number, since it is smaller than the sum of its proper divisors (120374520).

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

54585480 is a wasteful number, since it uses less digits than its factorization.

54585480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 39.

The square root of 54585480 is about 7388.1986979236. The cubic root of 54585480 is about 379.3374419437.

The spelling of 54585480 in words is "fifty-four million, five hundred eighty-five thousand, four hundred eighty".