458116480 has 64 divisors (see below), whose sum is σ = 1132995600. Its totient is φ = 176920576.

The previous prime is 458116469. The next prime is 458116487. The reversal of 458116480 is 84611854.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458116487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6219 + ... + 30901.

Almost surely, 2^458116480 is an apocalyptic number.

458116480 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 458116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566497800).

458116480 is an abundant number, since it is smaller than the sum of its proper divisors (674879120).

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

458116480 is a wasteful number, since it uses less digits than its factorization.

458116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24731 (or 24719 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 458116480 is about 21403.6557625094. The cubic root of 458116480 is about 770.8892183945.

The spelling of 458116480 in words is "four hundred fifty-eight million, one hundred sixteen thousand, four hundred eighty".