58001416 has 64 divisors (see below), whose sum is σ = 126982080. Its totient is φ = 24545280.

The previous prime is 58001413. The next prime is 58001477. The reversal of 58001416 is 61410085.

It is not an unprimeable number, because it can be changed into a prime (58001413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204811 + ... + 205093.

It is an arithmetic number, because the mean of its divisors is an integer number (1984095).

Almost surely, 2^58001416 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 58001416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63491040).

58001416 is an abundant number, since it is smaller than the sum of its proper divisors (68980664).

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

58001416 is a wasteful number, since it uses less digits than its factorization.

58001416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 58001416 is about 7615.8660702510. The cubic root of 58001416 is about 387.0908141299.

The spelling of 58001416 in words is "fifty-eight million, one thousand, four hundred sixteen".