54458880 has 160 divisors (see below), whose sum is σ = 199165824. Its totient is φ = 12435456.

The previous prime is 54458849. The next prime is 54458891. The reversal of 54458880 is 8885445.

54458880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×54458880² = 5931539221708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53254 + ... + 54266.

Almost surely, 2^54458880 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 54458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99582912).

54458880 is an abundant number, since it is smaller than the sum of its proper divisors (144706944).

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

54458880 is a wasteful number, since it uses less digits than its factorization.

54458880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 42.

The square root of 54458880 is about 7379.6260067838. The cubic root of 54458880 is about 379.0439493918.

The spelling of 54458880 in words is "fifty-four million, four hundred fifty-eight thousand, eight hundred eighty".