58460416 has 144 divisors (see below), whose sum is σ = 150111360. Its totient is φ = 22118400.

The previous prime is 58460393. The next prime is 58460419. The reversal of 58460416 is 61406485.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (58460419) 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, 578766 + ... + 578866.

It is an arithmetic number, because the mean of its divisors is an integer number (1042440).

Almost surely, 2^58460416 is an apocalyptic number.

58460416 is a gapful number since it is divisible by the number (56) 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 58460416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75055680).

58460416 is an abundant number, since it is smaller than the sum of its proper divisors (91650944).

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

58460416 is a wasteful number, since it uses less digits than its factorization.

58460416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 58460416 is about 7645.9411454706. The cubic root of 58460416 is about 388.1092263429.

The spelling of 58460416 in words is "fifty-eight million, four hundred sixty thousand, four hundred sixteen".