458085020 has 48 divisors (see below), whose sum is σ = 1027192320. Its totient is φ = 171183936.

The previous prime is 458085011. The next prime is 458085031. The reversal of 458085020 is 20580854.

It is a congruent number.

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, 8201 + ... + 31359.

It is an arithmetic number, because the mean of its divisors is an integer number (21399840).

Almost surely, 2^458085020 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 458085020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513596160).

458085020 is an abundant number, since it is smaller than the sum of its proper divisors (569107300).

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

458085020 is a wasteful number, since it uses less digits than its factorization.

458085020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23234 (or 23232 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 458085020 is about 21402.9208287093. The cubic root of 458085020 is about 770.8715716961.

The spelling of 458085020 in words is "four hundred fifty-eight million, eighty-five thousand, twenty".