458752020 has 96 divisors (see below), whose sum is σ = 1345317120. Its totient is φ = 116582400.

The previous prime is 458752003. The next prime is 458752027. The reversal of 458752020 is 20257854.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458752027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 552966 + ... + 553794.

It is an arithmetic number, because the mean of its divisors is an integer number (14013720).

Almost surely, 2^458752020 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 458752020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672658560).

458752020 is an abundant number, since it is smaller than the sum of its proper divisors (886565100).

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

458752020 is a wasteful number, since it uses less digits than its factorization.

458752020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 458752020 is about 21418.4971461585. The cubic root of 458752020 is about 771.2455357440.

It can be divided in two parts, 45875 and 2020, that added together give a triangular number (47895 = T₃₀₉).

The spelling of 458752020 in words is "four hundred fifty-eight million, seven hundred fifty-two thousand, twenty".