458099712 has 264 divisors, whose sum is σ = 1573668096. Its totient is φ = 130387968.

The previous prime is 458099699. The next prime is 458099729. The reversal of 458099712 is 217990854.

It is a super-2 number, since 2×458099712² = 419710692268965888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1741693 + ... + 1741955.

It is an arithmetic number, because the mean of its divisors is an integer number (5960864).

Almost surely, 2^458099712 is an apocalyptic number.

458099712 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 458099712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786834048).

458099712 is an abundant number, since it is smaller than the sum of its proper divisors (1115568384).

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

458099712 is an equidigital number, since it uses as much as digits as its factorization.

458099712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 458099712 is about 21403.2640501396. The cubic root of 458099712 is about 770.8798129058.

The spelling of 458099712 in words is "four hundred fifty-eight million, ninety-nine thousand, seven hundred twelve".