458028672 has 64 divisors (see below), whose sum is σ = 1222620960. Its totient is φ = 151925760.

The previous prime is 458028667. The next prime is 458028709. The reversal of 458028672 is 276820854.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78198 + ... + 83850.

Almost surely, 2^458028672 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 458028672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611310480).

458028672 is an abundant number, since it is smaller than the sum of its proper divisors (764592288).

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

458028672 is a wasteful number, since it uses less digits than its factorization.

458028672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5881 (or 5869 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 458028672 is about 21401.6044258369. The cubic root of 458028672 is about 770.8399626785.

The spelling of 458028672 in words is "four hundred fifty-eight million, twenty-eight thousand, six hundred seventy-two".