458241680 has 80 divisors (see below), whose sum is σ = 1150968000. Its totient is φ = 168666624.

The previous prime is 458241653. The next prime is 458241689. The reversal of 458241680 is 86142854.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (458241689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518519 + ... + 519401.

It is an arithmetic number, because the mean of its divisors is an integer number (14387100).

Almost surely, 2^458241680 is an apocalyptic number.

458241680 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 458241680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575484000).

458241680 is an abundant number, since it is smaller than the sum of its proper divisors (692726320).

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

458241680 is a wasteful number, since it uses less digits than its factorization.

458241680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 458241680 is about 21406.5802967218. The cubic root of 458241680 is about 770.9594381918.

The spelling of 458241680 in words is "four hundred fifty-eight million, two hundred forty-one thousand, six hundred eighty".