458717472 has 96 divisors (see below), whose sum is σ = 1344087360. Its totient is φ = 152202240.

The previous prime is 458717459. The next prime is 458717533. The reversal of 458717472 is 274717854.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207123 + ... + 209325.

It is an arithmetic number, because the mean of its divisors is an integer number (14000910).

Almost surely, 2^458717472 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 458717472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672043680).

458717472 is an abundant number, since it is smaller than the sum of its proper divisors (885369888).

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

458717472 is a wasteful number, since it uses less digits than its factorization.

458717472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2449 counting only the distinct ones).

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

The square root of 458717472 is about 21417.6906318118. The cubic root of 458717472 is about 771.2261747686.

The spelling of 458717472 in words is "four hundred fifty-eight million, seven hundred seventeen thousand, four hundred seventy-two".