458634484 has 48 divisors (see below), whose sum is σ = 1002798720. Its totient is φ = 178306560.

The previous prime is 458634443. The next prime is 458634529. The reversal of 458634484 is 484436854.

It is a happy number.

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, 173944 + ... + 176560.

It is an arithmetic number, because the mean of its divisors is an integer number (20891640).

Almost surely, 2^458634484 is an apocalyptic number.

458634484 is a gapful number since it is divisible by the number (44) 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 458634484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501399360).

458634484 is an abundant number, since it is smaller than the sum of its proper divisors (544164236).

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

458634484 is a wasteful number, since it uses less digits than its factorization.

458634484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3208 (or 3206 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 46.

The square root of 458634484 is about 21415.7531737737. The cubic root of 458634484 is about 771.1796636576.

The spelling of 458634484 in words is "four hundred fifty-eight million, six hundred thirty-four thousand, four hundred eighty-four".