58409052 has 96 divisors (see below), whose sum is σ = 155947008. Its totient is φ = 16879104.

The previous prime is 58409041. The next prime is 58409069. The reversal of 58409052 is 25090485.

58409052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 261813 + ... + 262035.

It is an arithmetic number, because the mean of its divisors is an integer number (1624448).

Almost surely, 2^58409052 is an apocalyptic number.

58409052 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58409052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77973504).

58409052 is an abundant number, since it is smaller than the sum of its proper divisors (97537956).

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

58409052 is a wasteful number, since it uses less digits than its factorization.

58409052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 58409052 is about 7642.5815010375. The cubic root of 58409052 is about 387.9955272804.

The spelling of 58409052 in words is "fifty-eight million, four hundred nine thousand, fifty-two".