54460080 has 160 divisors (see below), whose sum is σ = 197606400. Its totient is φ = 13747968.

The previous prime is 54460073. The next prime is 54460121. The reversal of 54460080 is 8006445.

54460080 is a `hidden beast` number, since 54 + 4 + 600 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40377 + ... + 41703.

It is an arithmetic number, because the mean of its divisors is an integer number (1235040).

Almost surely, 2^54460080 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 54460080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98803200).

54460080 is an abundant number, since it is smaller than the sum of its proper divisors (143146320).

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

54460080 is a wasteful number, since it uses less digits than its factorization.

54460080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 54460080 is about 7379.7073112692. The cubic root of 54460080 is about 379.0467334458.

The spelling of 54460080 in words is "fifty-four million, four hundred sixty thousand, eighty".