58251440 has 80 divisors (see below), whose sum is σ = 147907200. Its totient is φ = 21206016.

The previous prime is 58251439. The next prime is 58251443. The reversal of 58251440 is 4415285.

58251440 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 (80).

It is not an unprimeable number, because it can be changed into a prime (58251443) by changing a digit.

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, 81806 + ... + 82514.

It is an arithmetic number, because the mean of its divisors is an integer number (1848840).

Almost surely, 2^58251440 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 58251440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73953600).

58251440 is an abundant number, since it is smaller than the sum of its proper divisors (89655760).

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

58251440 is a wasteful number, since it uses less digits than its factorization.

58251440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 58251440 is about 7632.2630981905. The cubic root of 58251440 is about 387.6462216119.

The spelling of 58251440 in words is "fifty-eight million, two hundred fifty-one thousand, four hundred forty".