58945440 has 96 divisors (see below), whose sum is σ = 190753920. Its totient is φ = 15289344.

The previous prime is 58945427. The next prime is 58945441. The reversal of 58945440 is 4454985.

58945440 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 (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58945441) 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, 16101 + ... + 19419.

It is an arithmetic number, because the mean of its divisors is an integer number (1987020).

Almost surely, 2^58945440 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 58945440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95376960).

58945440 is an abundant number, since it is smaller than the sum of its proper divisors (131808480).

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

58945440 is a wasteful number, since it uses less digits than its factorization.

58945440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 58945440 is about 7677.5933729262. The cubic root of 58945440 is about 389.1796035135.

The spelling of 58945440 in words is "fifty-eight million, nine hundred forty-five thousand, four hundred forty".