58300416 has 72 divisors (see below), whose sum is σ = 168435540. Its totient is φ = 19427328.

The previous prime is 58300409. The next prime is 58300447. The reversal of 58300416 is 61400385.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 58300416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16851 + ... + 20013.

Almost surely, 2^58300416 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 58300416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84217770).

58300416 is an abundant number, since it is smaller than the sum of its proper divisors (110135124).

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

58300416 is a wasteful number, since it uses less digits than its factorization.

58300416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3191 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 58300416 is about 7635.4709088569. The cubic root of 58300416 is about 387.7548314767.

The spelling of 58300416 in words is "fifty-eight million, three hundred thousand, four hundred sixteen".