54385824 has 48 divisors (see below), whose sum is σ = 143222688. Its totient is φ = 18070272.

The previous prime is 54385813. The next prime is 54385861. The reversal of 54385824 is 42858345.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37399 + ... + 38825.

It is an arithmetic number, because the mean of its divisors is an integer number (2983806).

Almost surely, 2^54385824 is an apocalyptic number.

It is an amenable number.

54385824 is an abundant number, since it is smaller than the sum of its proper divisors (88836864).

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

54385824 is a wasteful number, since it uses less digits than its factorization.

54385824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1829 counting only the distinct ones).

The product of its digits is 153600, while the sum is 39.

The square root of 54385824 is about 7374.6745012916. The cubic root of 54385824 is about 378.8743790873.

The spelling of 54385824 in words is "fifty-four million, three hundred eighty-five thousand, eight hundred twenty-four".