458701056 has 180 divisors, whose sum is σ = 1492847664. Its totient is φ = 138931200.

The previous prime is 458701051. The next prime is 458701063. The reversal of 458701056 is 650107854.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 458701056.

It is not an unprimeable number, because it can be changed into a prime (458701051) 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 19 ways as a sum of consecutive naturals, for example, 227091 + ... + 229101.

Almost surely, 2^458701056 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 458701056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746423832).

458701056 is an abundant number, since it is smaller than the sum of its proper divisors (1034146608).

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

458701056 is a wasteful number, since it uses less digits than its factorization.

458701056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 458701056 is about 21417.3073937879. The cubic root of 458701056 is about 771.2169747703.

The spelling of 458701056 in words is "four hundred fifty-eight million, seven hundred one thousand, fifty-six".