458349696 has 192 divisors, whose sum is σ = 1523733120. Its totient is φ = 129540096.

The previous prime is 458349679. The next prime is 458349707. The reversal of 458349696 is 696943854.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 910981 + ... + 911483.

It is an arithmetic number, because the mean of its divisors is an integer number (7936110).

Almost surely, 2^458349696 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 458349696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761866560).

458349696 is an abundant number, since it is smaller than the sum of its proper divisors (1065383424).

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

458349696 is a wasteful number, since it uses less digits than its factorization.

458349696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 628 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 458349696 is about 21409.1031105929. The cubic root of 458349696 is about 771.0200098770.

It can be divided in two parts, 45 and 8349696, that added together give a triangular number (8349741 = T₄₀₈₆).

The spelling of 458349696 in words is "four hundred fifty-eight million, three hundred forty-nine thousand, six hundred ninety-six".