54058240 has 72 divisors (see below), whose sum is σ = 130795560. Its totient is φ = 21405696.

The previous prime is 54058237. The next prime is 54058247. The reversal of 54058240 is 4285045.

It can be written as a sum of positive squares in 4 ways, for example, as 123904 + 53934336 = 352^2 + 7344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 54058199 and 54058208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54058247) by changing a digit.

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, 200826 + ... + 201094.

It is an arithmetic number, because the mean of its divisors is an integer number (1816605).

Almost surely, 2^54058240 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 54058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65397780).

54058240 is an abundant number, since it is smaller than the sum of its proper divisors (76737320).

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

54058240 is a wasteful number, since it uses less digits than its factorization.

54058240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 54058240 is about 7352.4308905287. The cubic root of 54058240 is about 378.1121509647.

The spelling of 54058240 in words is "fifty-four million, fifty-eight thousand, two hundred forty".