458477712 has 360 divisors, whose sum is σ = 1692079200. Its totient is φ = 118419840.

The previous prime is 458477689. The next prime is 458477713. The reversal of 458477712 is 217774854.

It is not an unprimeable number, because it can be changed into a prime (458477713) 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 71 ways as a sum of consecutive naturals, for example, 2561239 + ... + 2561417.

It is an arithmetic number, because the mean of its divisors is an integer number (4700220).

Almost surely, 2^458477712 is an apocalyptic number.

458477712 is a gapful number since it is divisible by the number (42) 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 458477712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846039600).

458477712 is an abundant number, since it is smaller than the sum of its proper divisors (1233601488).

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

458477712 is a wasteful number, since it uses less digits than its factorization.

458477712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 202 counting only the distinct ones).

The product of its digits is 439040, while the sum is 45.

The square root of 458477712 is about 21412.0926581220. The cubic root of 458477712 is about 771.0917845581.

The spelling of 458477712 in words is "four hundred fifty-eight million, four hundred seventy-seven thousand, seven hundred twelve".