458605056 has 320 divisors, whose sum is σ = 1600397568. Its totient is φ = 113246208.

The previous prime is 458605051. The next prime is 458605061. The reversal of 458605056 is 650506854.

It is an interprime number because it is at equal distance from previous prime (458605051) and next prime (458605061).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (458605051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2376096 + ... + 2376288.

Almost surely, 2^458605056 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 458605056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800198784).

458605056 is an abundant number, since it is smaller than the sum of its proper divisors (1141792512).

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

458605056 is a wasteful number, since it uses less digits than its factorization.

458605056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 458605056 is about 21415.0660984271. The cubic root of 458605056 is about 771.1631692149.

The spelling of 458605056 in words is "four hundred fifty-eight million, six hundred five thousand, fifty-six".