458542080 has 352 divisors, whose sum is σ = 1697863680. Its totient is φ = 117227520.

The previous prime is 458542079. The next prime is 458542093. The reversal of 458542080 is 80245854.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4285387 + ... + 4285493.

Almost surely, 2^458542080 is an apocalyptic number.

458542080 is a gapful number since it is divisible by the number (40) 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 458542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848931840).

458542080 is an abundant number, since it is smaller than the sum of its proper divisors (1239321600).

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

458542080 is a wasteful number, since it uses less digits than its factorization.

458542080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 458542080 is about 21413.5956812489. The cubic root of 458542080 is about 771.1278686920.

It can be divided in two parts, 4585 and 42080, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 458542080 in words is "four hundred fifty-eight million, five hundred forty-two thousand, eighty".