58058460 has 72 divisors (see below), whose sum is σ = 180428976. Its totient is φ = 15102720.

The previous prime is 58058447. The next prime is 58058467. The reversal of 58058460 is 6485085.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58058467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3447 + ... + 11313.

It is an arithmetic number, because the mean of its divisors is an integer number (2505958).

Almost surely, 2^58058460 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 58058460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90214488).

58058460 is an abundant number, since it is smaller than the sum of its proper divisors (122370516).

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

58058460 is a wasteful number, since it uses less digits than its factorization.

58058460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7923 (or 7918 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 58058460 is about 7619.6102262517. The cubic root of 58058460 is about 387.2176729491.

It can be divided in two parts, 580584 and 60, that added together give a square (580644 = 762²).

The spelling of 58058460 in words is "fifty-eight million, fifty-eight thousand, four hundred sixty".