458060416 has 64 divisors (see below), whose sum is σ = 1004659200. Its totient is φ = 206295040.

The previous prime is 458060411. The next prime is 458060431. The reversal of 458060416 is 614060854.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (458060411) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 157665 + ... + 160543.

It is an arithmetic number, because the mean of its divisors is an integer number (15697800).

Almost surely, 2^458060416 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 458060416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502329600).

458060416 is an abundant number, since it is smaller than the sum of its proper divisors (546598784).

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

458060416 is a wasteful number, since it uses less digits than its factorization.

458060416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 3005 counting only the distinct ones).

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

The square root of 458060416 is about 21402.3460396285. The cubic root of 458060416 is about 770.8577701361.

The spelling of 458060416 in words is "four hundred fifty-eight million, sixty thousand, four hundred sixteen".