58413952 has 32 divisors (see below), whose sum is σ = 119089080. Its totient is φ = 28525056.

The previous prime is 58413947. The next prime is 58413973. The reversal of 58413952 is 25931485.

58413952 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 (32).

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 3 ways as a sum of consecutive naturals, for example, 198 + ... + 10810.

Almost surely, 2^58413952 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 58413952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59544540).

58413952 is an abundant number, since it is smaller than the sum of its proper divisors (60675128).

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

58413952 is a wasteful number, since it uses less digits than its factorization.

58413952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10670 (or 10658 counting only the distinct ones).

The product of its digits is 43200, while the sum is 37.

The square root of 58413952 is about 7642.9020666236. The cubic root of 58413952 is about 388.0063767684.

The spelling of 58413952 in words is "fifty-eight million, four hundred thirteen thousand, nine hundred fifty-two".